Registro:

Referencias:

• Abreu, E., Carriao, P., Miyagaki, O., On elliptic problem with double critical exponents Preprint; Adams, R.A., Sobolev Spaces (1975) Pure and Applied Mathematics, , Academic Press, Berlin/New York
• Yadava, A., Yadava, S.L., Positive solution for Neumann problem with critical non linearity on boundary (1991) Comm. Partial Differential Equations, 16 (11), pp. 1733-1760
• Amann, H., Parabolic evolution equations and nonlinear boundary conditions (1988) J. Differential Equations, 72, pp. 201-269
• Ambrosetti, A., Li, Y.Y., Malchiodi, A., On the Yamabe problem and the scalar curvature problems under boundary conditions (2002) Math. Ann., 322 (4), pp. 667-699
• Ambrosetti, A., Rabinowitz, P.H., Dual variational methods in critical point theory and applications (1973) J. Funct. Anal., 14 (4), pp. 349-381
• Anane, A., Simplicité et isolation de la premiere valeur propre du p-laplacien avec poids (1987) C. R. Acad. Sci. Paris Sér, 1305, pp. 725-728
• Andreu, F., Ballester, C., Caselles, V., Mazón, J.M., Minimizing total variational flow (2001) Differential Integral Equations, 14, pp. 321-360
• Andreu, F., Igbida, N., Mazon, J.M., Toledo, J., Some existence results for quasi-linear elliptic equations under nonlinear boundary conditions Preprint; Andreu, F., Mazon, J.M., Moll, S., The total variation flow with nonlinear boundary conditions Preprint; Andreu, F., Mazon, J.M., Rossi, J.D., The best constant for the Sobolev trace embedding from Wl'1 (Ω) into L1(∂Ω) (2004) Nonlinear Anal., 59 (7), pp. 1125-1145
• Andreu, F., Mazon, J.M., Segura de Leon, S., Toledo, J., Quasi-linear elliptic and parabolic equations in L1 with nonlinear boundary conditions (1997) Adv. Math. Sci. Appl, 7 (1), pp. 183-213
• Arcoya, D., Gamez, J.L., Bifurcation theory and related problems: Antimaximum principle and reso- nance (2001) Comm. Partial Differential Equations, 26 (9-10), pp. 1879-1911
• Arcoya, D., Rossi, J.D., Antimaximum principle for quasilinear problems (2004) Adv. Differential Equations, 9 (9-10), pp. 1185-1200
• Aubin, T., Équations différentielles non linéaires et le probléme de Yamabe concernant la courbure scalaire (1976) J. Math. Pures Appl., 55, pp. 269-296
• Barles, G., Fully nonlinear Neumann type conditions for second-order elliptic and parabolic equations (1993) J. Differential Equations, 106, pp. 90-106
• Bartsch, T., de Figueiredo, D.G., Infinitely many solutions of nonlinear elliptic systems (1999) Progr. Nonlinear Differential Equations Appl., 35, pp. 51-67. , Birkhäuser, New York- London
• Beckner, W., Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality (1993) Ann. of Math., 138, pp. 213-242
• Benilan, Ph., Crandall, M., Sacks, P., Some L 1 existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions (1988) Appl. Math. Optim, 17 (3), pp. 203-224
• Biezuner, R.J., Best constants in Sobolev trace inequalities (2003) Nonlinear Anal., 54, pp. 575-589
• Bourgain, J., Brezis, H., Mironescu, P., Another look at Sobolev spaces (2001) Optimal Control and Partial Differential Equations, pp. 439-455. , IOS Press, Basel
• Brezis, H., Nirenberg, L., Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents (1983) Comm. Pure Appl. Math, XXXVI, pp. 437-477
• Brock, F., An isoperimetric inequality for eigenvalues of the Steckloff problem (2001) Z. Angew. Math. Mech, 81 (1), pp. 69-71
• Cabre, X., Sola-Morales, J., Layer solutions in a halfspace for boundary reactions Commun. Pure Appl. Math, , to appear
• Calderon, A.P., On a inverse boundary value problem (1980) Seminar in Nonlinear Analysis and Its Applications to Continuum Physics, Soc. Brasilera de Matematica, pp. 65-73. , Rio de Janeiro
• Chabrowski, J., On the nonlinear Neumann problem involving the critical Sobolev exponent on the boundary (2004) J. Math. Anal. Appl., 290, pp. 605-619
• Chabrowski, J., Yang, J., Existence theorems for elliptic equations involving supercritical Sobolev exponent (1997) Adv. Differential Equations, 2 (2), pp. 231-256
• Cherkaev, A., Cherkaeva, E., Optimal design for uncertain loading condition (1999) Homogenization, Ser. Adv. Math. Appl. Sci., 50, pp. 193-213. , World Sci. Publishing, Amsterdam
• Cherrier, P., Problèmes de Neumann non linéaires sur les variétés Riemanniennes (1984) J. Funct. Anal, 57, pp. 154-206
• Chipot, M., Chlebík, M., Fila, M., Shafrir, I., Existence of positive solutions of a semilinear elliptic equation in RN+with a nonlinear boundary condition (1998) J. Math. Anal. Appl, 223, pp. 429-471
• Chipot, M., Fila, M., Quittner, P., Stationary solutions, blow-up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions (1991) Acta Math. Univ. Comenian, LX (1), pp. 35-103
• Chipot, M., Quittner, P., Equilibria, connecting orbits and a priori bounds for semilinear parabolic equations with nonlinear boundary conditions (2004) J. Dynam. Differential Equations, 16, pp. 91-138
• Chipot, M., Shafrir, I., Fila, M., On the solutions to some elliptic equations with nonlinear boundary conditions (1996) Adv. Differential Equations, 1 (1), pp. 91-110
• Chlebík, M., Fila, M., Some recent results on blow-up on the boundary for the heat equation, Evolution Equations: Existence, Regularity and Singularities, Warsaw, 1998 (2000) Polish Acad. Sci., pp. 61-71. , Banach Center Publ., River Edge, NJ
• Chlebík, M., Fila, M., Reichel, W., Positive solutions of linear elliptic equations with critical growth in the Neumann boundary condition (2003) NoDEA Nonlinear Differential Equations Appl., 10 (3), pp. 329-346
• Cîrstea, F.-C.Ş., R>adulescu, V., Existence and non-existence results for a quasilinear problem with nonlinear boundary conditions (2000) J. Math. Anal. Appl., 244, pp. 169-183
• Cîrstea, F.-C.Şt., Rǎdulescu, V., On a double bifurcation quasilinear problem arising in the study of anisotropic continuous media (2001) Proc. Edinburgh Math. Soc., 44, pp. 527-548
• Clement, P., Peletier, L.A., An antimaximum principle for second order elliptic operators (1979) J. Differential Equations, 34, pp. 218-229
• Consul, N., Sola-Morales, J., Stability of local minima and stable nonconstant equilibria (1999) J. Differential Equations, 157, pp. 61-81
• Cortázar, C., Elgueta, M., Felmer, P., Symmetry in an elliptic problem and the blow-up set of a quasilinear heat equation (1996) Comm. Partial Differential Equations, 21 (3-4), pp. 507-520
• Davila, J., Montenegro, M., Nonlinear problems with solutions exhibiting a free boundary on the boundary Preprint; Davila, J., Rossi, J.D., Self-similar solutions of the porous medium equation in a half-space with a nonlinear boundary condition. Existence and symmetry (2004) J. Math. Anal. Appl., 296, pp. 634-649
• de Figueiredo, D.G., Positive solutions of semilinear elliptic equations (1982) Lecture Notes in Math., pp. 34-87. , Springer-Verlag, Warsaw
• de Figueiredo, D.G., Semilinear elliptic systems: A survey of superlinear problems (1996) Resenhas IME-USP, pp. 373-391
• de, D.G., Figueiredo and P.L. Felmer, On superquadratic elliptic systems (1994) Trans. Amer. Math. Soc., 343, pp. 99-116
• del Pino, M., Flores, C., Asymptotic behavior of best constants and extremals for trace embeddings in expanding domains (2001) Comm. Partial Differential Equations, 26 (11-12), pp. 2189-2210
• Demengel, F., On some nonlinear equation involving the 1 -Laplacian and trace map inequalities (2002) Nonlin- ear Anal., 48, pp. 1151-1163
• Denzler, J., Windows of given area with minimal heat diffusion (1999) Trans. Amer. Math. Soc., 351, pp. 569-580
• Drábek, P., Robinson, S.B., Resonance problem for the p-Laplacian (1999) J. Funct. Anal., 169, pp. 189-200
• Druet, O., Hebey, E., The AB Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems (2002) Amer. Math. Soc, , Providence, RI. Mem. Amer. Math. Soc
• Ebmeyer, C., Nonlinear elliptic problems under mixed boundary conditions in nonsmooth domains (2000) SIAM J. Math. Anal., 32, pp. 103-118. , 1
• El Hamidi, A., Multiple solutions with sign changing energy to a nonlinear elliptic equation (2004) Commun. Pure Appl. Anal., 3 (2), pp. 253-265
• Escobar, J.F., Sharp constant in a Sobolev trace inequality (1988) Indiana Univ. Math. J., 37, pp. 687-698
• Escobar, J.F., Uniqueness theorems on conformal deformations of metrics, Sobolev inequalities, and an eigenvalue estimate (1990) Comm. Pure Appl. Math., 43, pp. 857-883
• Escobar, J.F., Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature (1992) Ann. of Math., 136 (2), pp. 1-50
• Escobar, J.F., Conformal metrics with prescribed mean curvature on the boundary (1996) Calc. Var. Partial Dif- ferential Equations, 4 (6), pp. 559-592
• Escobar, J.F., The geometry of the first non-zero Steklov eigenvalue (1997) J. Funct. Anal., 150, pp. 544-556
• Escobar, J.F., An isoperimetric inequality and the first Steklov eigenvalue (1999) J. Funct. Anal., 165, pp. 101-116
• Escobar, J.F., A comparison theorem for the first non-zero Steklov eigenvalue (2000) J. Funct. Anal., 178, pp. 143-155
• Felli, V., Ahmedou, M.O., On a geometric equation with critical nonlinearity on the boundary Preprint; Felli, V., Ahmedou, M.O., Compactness results in conformal deformations of Riemannian manifolds with boundaries (2003) Math. Z., 244 (1), pp. 175-210
• Felmer, P., Periodic solutions of 'superquadratic' Hamiltonian systems (1993) J. Differential Equations, 102, pp. 188-207
• Felmer, P., Wang, Z.-Q., Multiplicity for symmetric indefinite functional: Application to Hamiltonian and elliptic systems, Topol. (1998) Methods Nonlinear Anal., 12 (2), pp. 207-226
• Fernández Bonder, J., Ferreira, R., Rossi, J.D., Uniform bounds for the best Sobolev trace constant (2003) Adv. Nonlinear Stud., 3 (2), pp. 181-192
• Fernández Bonder, J., Lami Dozo, E., Rossi, J.D., Symmetry properties for the extremals of the Sobolev trace embedding (2004) Ann. Inst. H. Poincaré Anal. Non Linéaire, 21 (6), pp. 795-805
• Fernández Bonder, J., Martinez, S., Rossi, J.D., The behaviour of the best Sobolev trace constant and extremals in thin domains (2004) J. Differential Equations, 198 (1), pp. 129-148
• Fernández Bonder, J., Martinez, S., Rossi, J.D., Existence results for gradient elliptic systems with non- linear boundary conditions Preprint; Fernández Bonder, J., Pinasco, J.P., Rossi, J.D., Existence results for a Hamiltonian elliptic system with nonlinear boundary conditions (1999) Electron. J. Differential Equations, 40, pp. 1-15
• Fernández Bonder, J., Pinasco, J.P., Rossi, J.D., Infinitely many solutions for an elliptic system with nonlinear boundary conditions (2001) Electron. J. Differ. Equ. Conf, 6, pp. 141-154
• Fernández Bonder, J., Rossi, J.D., Existence for an elliptic system with nonlinear boundary conditions via fixed point methods (2001) Adv. Differential Equations, 6 (1), pp. 1-20
• Fernández Bonder, J., Rossi, J.D., Existence results for the p-Laplacian with nonlinear boundary conditions (2001) J. Math. Anal. Appl., 263, pp. 195-223
• Fernández Bonder, J., Rossi, J.D., A fourth order elliptic equation with nonlinear boundary conditions (2002) Nonlinear Anal., 49 (8), pp. 1037-1047
• Fernández Bonder, J., Rossi, J.D., A nonlinear eigenvalue problem with indefinite weights related to the Sobolev trace embedding (2002) Publ. Mat., 46, pp. 221-235
• Fernández Bonder, J., Rossi, J.D., Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains (2002) Commun. Pure Appl. Anal., 1 (3), pp. 359-378
• Fernández Bonder, J., Rossi, J.D., On the existence of extremals for the Sobolev trace embedding theo- rem with critical exponent (2005) Bull. London Math. Soc, 37, pp. 119-125
• Fernández Bonder, J., Rossi, J.D., Wolanski, N., Behavior of the best Sobolev trace constant and ex- tremals in domains with holes Preprint; Fila, M., Filo, J., Blow-up on the boundary: A survey (1996) Polish Acad. Sci., pp. 67-78. , Singularities and Differential Equations Warsaw 1993, Banach Center Publ., Berlin
• Galaktionov, V., Vázquez, J.L., The problem of blow-up in nonlinear parabolic equations (2002) Discrete Contin. Dyn. Syst. Ser., A 8, pp. 399-433
• García-Azorero, J., Peral, I., Existence and non-uniqueness for the p-Laplacian: Nonlinear eigenvalues (1987) Comm. Partial Differential Equations, 12, pp. 1389-1430
• García-Azorero, J., Peral, I., Multiplicity of solutions for elliptic problems with critical exponent or with a nonsymmetric term (1991) Trans. Amer. Math. Soc., 323 (2), pp. 877-895
• García-Azorero, J., Peral, I., Rossi, J.D., A convex-concave problem with a nonlinear boundary condition (2004) J. Differential Equations, 198 (1), pp. 91-128
• Gidas, B., Ni, W.-M., Nirenberg, L., Symmetry related properties via maximum principle (1979) Comm. Math. Phys., 68, pp. 209-243
• Gidas, B., Spruck, J., A priori bounds for positive solutions of nonlinear elliptic equations (1981) Comm. Partial Differential Equations, 6, pp. 883-901
• Gilbarg, D., Trudinger, N.S., (1983) Elliptic Partial Differential Equations of Second Order, , Springer-Verlag, Warsaw
• Han, Z.C., Li, Y.Y., The Yamabe problem on manifolds with boundaries: Existence and compactness results (1999) Duke Math. J, 99, pp. 489-542
• Han, Z.C., Li, Y.Y., The existence of conformal metrics with constant scalar curvature and constant mean curvature (2000) Comm. Anal. Geom., 8 (4), pp. 809-869
• Hu, B., Nonexistence of a positive solution of the Laplace equation with a nonlinear boundary condition (1994) Differential Integral Equations, 7 (2), pp. 301-313
• Hu, B., Yin, H.M., The profile near blow-up time for the solution of the heat equation with a nonlinear boundary condition (1995) Trans. Amer. Math. Soc., 346 (1), pp. 117-135
• Ishii, H., Lions, P.L., Viscosity solutions of fully nonlinear second-order elliptic partial differential equations (1990) J. Differential Equations, 83, pp. 26-78
• Kawohl, B., Rearrangements and Convexity of Level Sets in PDE (1985) Lecture Notes in Math., , Springer-Verlag, New York
• Krasnoselski, M.A., (1964) Topological Methods in the Theory of Nonlinear Integral Equations, , Macmillan, Berlin
• Lami Dozo, E., Torne, O., Symmetry and symmetry breaking for minimizers in the trace inequality Commun. Contemp. Math, , to appear
• Li, Y., Zhu, M., Uniqueness theorems through the method of moving spheres (1995) Duke Math. J., 80, pp. 383-417
• Li, Y., Zhu, M., Sharp Sobolev trace inequalities on Riemannian manifolds with boundaries (1997) Comm. Pure Appl. Math., 50, pp. 449-487
• Lindqvist, P., On the equation pu+λ (1990) Proc. Amer. Math. Soc., 109, pp. 157-164. , 1
• Lions, P.L., The concentration-compactness principle in the calculus of variations. The limit case, Part 1 (1985) Rev. Mat. Iberoamericana, 1 (1), pp. 145-201
• Lions, P.L., The concentration-compactness principle in the calculus of variations. The limit case, Part 2 (1985) Rev. Mat. Iberoamericana, 1 (2), pp. 45-121
• Lions, P.L., Pacella, F., Tricarico, M., Best constants in Sobolev inequalities for functions vanishing on some part of the boundary and related questions (1988) Indiana Univ. Math. J., 37 (2), pp. 301-324
• Mancebo, F.J., Vega, J.M., A model of porous catalyst accounting for incipiently non-isothermal effects (1999) J. Differential Equations, 151 (1), pp. 79-110
• Martinez, S., Rossi, J.D., Isolation and simplicity for the first eigenvalue of the p-Laplacian with a nonlinear boundary condition (2002) Abstr. Appl. Anal., 7 (5), pp. 287-293
• Martinez, S., Rossi, J.D., Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance (2003) Electron. J. Differential Equations, 27, pp. 1-14
• Martinez, S., Rossi, J.D., On the Fučik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition (2004) Nonlinear Anal., 59 (6), pp. 813-848
• Montefusco, E., Radulescu, V., Nonlinear eigenvalue problems for quasilinear operators on unbounded domains (2001) NoDEA Nonlinear Differential Equations Appl., 8, pp. 481-497
• Motron, M., Around the best constants for the Sobolev trace map from W1, 1 (Ω) into Ll (∂Ω) (2002) Asymptot. Anal., 29, pp. 69-90
• Park, Y.J., Sobolev trace inequalities Preprint; Park, Y.J., Logarithmic Sobolev trace inequality (2004) Proc. Amer. Math. Soc., 132, pp. 2075-2083. , 7
• Pflüger, K., Existence and multiplicity of solutions to a p-Laplacian equation with nonlinear boundary condition (1998) Electron. J. Differential Equations, 10 (1-13)
• Pierrotti, D., Terracini, S., On a Neumann problem with critical exponent and critical nonlinearity on the boundary (1995) Comm. Partial Differential Equations, 20 (7-8), pp. 1155-1187
• Pierrotti, D., Terracini, S., On a Neumann problem involving two critical Sobolev exponents: Remarks on geometrical and topological aspects (1997) Calc. Var. Partial Differential Equations, 5, pp. 271-291
• Rabinowitz, P., Minimax Methods in Critical Point Theory with Applications to Differential Equations (1986) CBMS Reg. Conf. Ser. Math., , Amer. Math. Soc., New York
• Reichel, W., Zou, W., Nonexistence results for semilinear cooperative elliptic systems via moving spheres (2000) J. Differential Equations, 161, pp. 219-243
• Schechter, M., Zou, W., An infinite-dimensional linking theorem and applications (2004) J. Differential Equa- tions, 201 (2), pp. 324-350
• Simon, J., Regularité de la solution d'unproblème aux limites non linéaires (1981) Ann. Fac. Sci. Toulouse Math., III (6), pp. 247-274
• Stampacchia, G., Problemi al contorno ellitici, con dati discontinui, dotati di soluzioni hölderiane (1960) Ann. Mat. Pura Appl., 51 (4), pp. 1-37. , in Italian
• Steklov, M.W., Sur les problèmes fondamentaux en physique mathématique (1902) Ann. Sci. Ecole Norm. Sup., 19, pp. 455-490
• Sweers, G., LN is sharp for the antimaximum principle (1997) J. Differential Equations, 134, pp. 148-153
• Terracini, S., Symmetry properties of positive solutions to some elliptic equations with nonlinear boundary conditions (1995) Differential Integral Equations, 8 (8), pp. 1911-1922
• Thayer, J., (1987) Operadores Auto-Adjuntos e Equacões Diferenciais Parciais, , IMPA, Projecto Euclides, Providence, RI
• Tolksdorf, P., Regularity for a more general class of quasilinear elliptic equations (1984) J. Differential Equations, 51, pp. 126-150
• Trudinger, N., Remarks concerning the conformal deformation of Riemannian structures on compact manifolds (1968) Ann. Scuola Norm. Sup. Pisa, 22, pp. 265-274
• Umezu, K., Nonlinear elliptic boundary value problems suggested by fermentation (2000) NoDEA Nonlinear Differential Equations Appl., 7 (2), pp. 143-155
• Umezu, K., Global positive solution branches of positone problems with nonlinear boundary conditions (2000) Differential Integral Equations, 13 (4-6), pp. 669-686
• Vazquez, J.L., A strong maximum principle for some quasilinear elliptic equations (1984) Appl. Math. Optim., 12 (3), pp. 191-202
• Zhu, M., On elliptic problems with indefinite superlinear boundary conditions (2003) J. Differential Equations, 193, pp. 180-195
• Zou, W., Li, S., New linking theorem and elliptic systems with nonlinear boundary condition (2003) Nonlinear Anal., 52, pp. 1797-1820

Citas:

---------- APA ----------

---------- CHICAGO ----------

---------- MLA ----------

---------- VANCOUVER ----------