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Perturbations of nonsmooth symmetric nonlinear eigenvalue problemsDegiovanni, Marco ; Rǎdulescu, Vicenţiu, 1958-We consider a symmetric semilinear boundary value problem having infinitely many solutions. We prove that, if we perturb this problem in a non-symmetric way, then the number of solutions goes to ... infinity as the perturbation tends to zero. The growth conditions on the nonlinearities do not ensure the smoothness of the associated functional.Source: Comptes rendus de l'Académie des sciences. Série 1, Mathématique. - ISSN 0764-4442 (Vol. 329, no. 4, 1999, str. 281-286)Type of material - article, component partPublish date - 1999Language - englishCOBISS.SI-ID - 15279193
Author
Degiovanni, Marco |
Rǎdulescu, Vicenţiu, 1958-
Topics
matematika |
parcialne diferencialne enačbe |
nelinearne eliptične enačbe |
perturbacije |
nelinearni problem lastnih vrednosti |
variacijske metode |
neskončno mnogo rešitev |
mathematics |
partial differential equations |
nonlinear elliptic equations |
perturbations |
nonlinear eigenvalue problems |
variational methods |
Palais-Smale condition |
infinitely many solutions
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Degiovanni, Marco | |
Rǎdulescu, Vicenţiu, 1958- | 29964 |
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