Registro:

Referencias:

• Bredon, G.E., (1972) Introduction to Compact Transformation Groups. Pure and Applied Mathematics, Vol. 46, , Academic Press London
• Chang, S.Y.A., On Paneitz Operator-a fourth order differential operator in conformal geometry (1999) Harmonic Analysis and Partial Differential Equations, pp. 127-150. , Christ, M., Kenig, C., Sadorsky, C. (Eds.) Essays in honor of Alberto P. Calderon. Chicago Lectures in Mathematics
• Chang, S.Y.A., Yang, P.C., On a fourth order curvature invariant (1999) Spectral Problems in Geometry and Arithmetic, Comp. Math., 237, pp. 9-28. , Branson, T. (Ed.) AMS
• Clapp, M., A global compactness result for elliptic problems with critical nonlinearity on symmetric domains (2003) Nonlinear Equations: Methods, Models and Applications, Progr. Nonlinear Differential Equations Applications, 54, pp. 117-126. , Birkhäuser, Boston
• Djadli, Z., Hebey, E., Ledoux, M., Paneitz-type operators and applications (2000) Duke Math. J., 104, pp. 129-169. , 1
• Edmunds, D.E., Fortunato, F., Janelli, E., Critical exponents, critical dimensions, and the biharmoni operator (1990) Arch. Rational. Mech. Anal., 112, pp. 269-289
• Faget, Z., Best constant in Sobolev inequalities on Riemannian manifolds in the presence of symmetries (2002) Potential Anal., 17, pp. 105-124. , 2
• Faget, Z., Optimal constants in critical Sobolev inequalities on Riemannian manifolds in the presence of symmetries (2003) Ann. Global Anal. Geom., 24, pp. 161-200
• Hebey, E., Nonlinear analysis on manifolds: Sobolev spaces and inequalities (1999) Courant Lecture Notes in Mathematics, 5
• Hebey, E., Sharp Sobolev inequalities of second order (2003) J. Geom. Anal., 13, pp. 145-162. , 1
• Hebey, E., Robert, F., Coercivity and Struwe's compactness for Paneitz type operators with constant coefficients (2001) Calc. Var. Partial Differ. Equ., 13, pp. 491-517. , 4
• Hebey, E., Vaugon, M., Sobolev spaces in the presence of symmetries (1997) J. Math. Pures Appl., 76, pp. 859-881. , 10
• Lieb, E.H., Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities (1983) Ann. Math., 118, pp. 349-374. , 2
• Lin, C.S., A classification of solutions of a conformally invariant fourth order equation in Rn (1998) Comment Math. Helv., 73, pp. 206-231
• Lions, P.L., The concentration-compactness principle in the calculus of variations, the limit case, parts 1 and 2 (1985) Rev. Mat. Iberoamericana, 1, pp. 145-201. , 45-121
• Robert, F., Positive solutions for a fourth order equation invariant under isometries (2003) Proc. Am. Math. Soc., 131, pp. 1423-1431. , 5
• Saintier, N., Asymptotic estimates and blow-up theory for critical equations involving the p-laplacian (2006) Calc. Var. Partial Differ. Equ., 25, pp. 299-331. , 3
• Saintier, N., Changing sign solutions of a conformally invariant fourth order equation in the Euclidean space (2006) Commun. Anal. Geometry, 14, pp. 613-624. , 4
• Saintier, N., Best Constant in Critical Sobolev Inequalities of Second Order in the Presence of Symmetries on Riemannian Manifolds, , in preparation
• Struwe, M., A global compactness result for elliptic boundary value problem involving limiting nonlinearities (1984) Math. Z., 187, pp. 511-517. , 4
• Struwe, M., (2000) Variational Methods. Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems, , Springer Berlin

Citas:

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

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

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

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