Registro:

Referencias:

• Anane, A., Simplicité et isolation de la première valeur propre du p-laplacien avec poids (1987) C. R. Acad. Sci. Paris Sér. I Math., 305, pp. 725-728
• Bhattacharya, T., Some observations on the first eigenvalue of the p-Laplacian and its connections with asymmetry (2001) Electron. J. Differential Equations, 2001 (35), pp. 1-15
• Boccardo, L., de Figueiredo, D.G., Some remarks on a system of quasilinear elliptic equations (2002) NoDEA Nonlinear Differential Equations Appl., 9, pp. 309-323
• Borg, G., On a Liapounoff criterion of stability (1949) Amer. J. Math., 71, pp. 67-70
• Brown, R.C., Hinton, D.B., Lyapunov inequalities and their applications (2000) Survey on Classical Inequalities, pp. 1-25. , Springer, T.M. Rassias (Ed.)
• Cañada, A., Montero, J.A., Villegas, S., Lyapunov inequalities for partial differential equations (2006) J. Funct. Anal., 237, pp. 17-193
• Cañada, A., Villegas, S., Lyapunov inequalities for Neumann boundary conditions at higher eigenvalues (2010) J. Eur. Math. Soc., 12, pp. 163-178
• Courant, R., Hilbert, D., (1953) Methods of Mathematical Physics, vol. I, , Interscience Publishers, Inc., New York
• Cuesta, M., Eigenvalue problems for the p-Laplacian with indefinite weights (2001) Electron. J. Differential Equations, 2001 (33), p. 9
• De Nápoli, P.L., Pinasco, J.P., A Lyapunov inequality for monotone quasilinear operators (2005) Differential Integral Equations, 18 (10), pp. 1193-1200
• de Nápoli, P.L., Pinasco, J.P., Estimates for eigenvalues of quasilinear elliptic systems (2006) J. Differential Equations, 227 (1), pp. 102-115
• del Pino, M., Drabek, P., Manásevich, R., The Fredholm alternative at the first eigenvalue for the one-dimensional p-Laplacian (1999) J. Differential Equations, 151 (2), pp. 386-419
• Egorov, Y.V., Kondriatev, V.A., On Spectral Theory of Elliptic Operators (1996) Oper. Theory Adv. Appl., , Birkhäuser
• Elbert, A., A half-linear second order differential equation (1979) Colloq. Math. Soc. János Bolyai, 30, pp. 158-180
• Evans, L.C., (2010) Partial Differential Equations, , American Math. Society
• Fernández Bonder, J., Pinasco, J.P., Precise asymptotic of eigenvalues of resonant quasilinear systems (2010) J. Differential Equations, 249, pp. 136-150
• Fusco, N., Maggi, F., Pratelli, A., Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities (2009) Ann. Sc. Norm. Super. Pisa Cl. Sci., 8, pp. 51-71
• Garcia Azorero, J., Peral Alonso, I., Comportement asymptotique des valeurs propres du p-Laplacien (1988) C. R. Acad. Sci. Paris, Ser. I, 307, pp. 75-78
• Hajlasz, P., Pointwise Hardy inequalities (1999) Proc. Amer. Math. Soc., 127, pp. 417-423
• Kilpelainen, T., Weighted Sobolev spaces and capacity (1994) Ann. Acad. Sci. Fenn. Ser. A I Math., 19, pp. 95-113
• Lee, C.-F., Yeh, C.-C., Hong, C.-H., Agarwal, R.P., Lyapunov and Wirtinger inequalities (2004) Appl. Math. Lett., 17, pp. 847-853
• Lehrback, J., Pointwise Hardy inequalities and uniformly fat sets (2008) Proc. Amer. Math. Soc., 136, pp. 2193-2200
• Lyapunov, A., Probleme General de la Stabilite du Mouvement (1892) Ann. of Math. Stud., 17, pp. 203-474. , Princeton Univ. Press, reprinted from Ann. Fac. Sci. Toulouse, 9 (1907), translation of the original paper published in, Comm. Soc. Math. Kharkow
• Nehari, Z., On the zeros of solutions of second-order linear differential equations (1954) Amer. J. Math., 76, pp. 689-697
• Opic, B., Kufner, A., (1990) Hardy-Type Inequalities, , Longman Group, UK
• Osserman, R., A note on Hayman's theorem on the bass note of a drum (1977) Comment. Math. Helv., 52, pp. 545-555
• Pachpatte, B.G., Lyapunov type integral inequalities for certain differential equations (1997) Georgian Math. J., 4, pp. 139-148
• Patula, W.T., On the distance between zeroes (1975) Proc. Amer. Math. Soc., 52, pp. 247-251
• Pinasco, J.P., Lower bounds for eigenvalues of the one-dimensional p-Laplacian (2004) Abstr. Appl. Anal., 2004, pp. 147-153
• Pinasco, J.P., Lyapunov Type Inequalities, with Applications to Eigenvalue Problems (2013) Springer Briefs Math., , Springer, New York
• Rabinowitz, P.H., Minimax Methods in Critical Point Theory with Applications to Differential Equations (1986) CBMS Reg. Conf. Ser. Math., 65. , Amer. Math. Soc., Prov., RI
• Turesson, B.O., Nonlinear Potential Theory and Weighted Sobolev Spaces (2000) Lecture Notes in Math., 1736. , Springer
• Yang, X., On inequalities of Lyapunov type (2003) Appl. Math. Comput., 134, pp. 293-300

Citas:

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

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

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

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