Perturbations of nonsmooth symmetric nonlinear eigenvalue problems

Marco Degiovanni; Vicentiu Radulescu

doi:10.1016/S0764-4442(00)88567-5

Perturbations of nonsmooth symmetric nonlinear eigenvalue problems

Marco Degiovanni^*
, Vicentiu Radulescu

^*Autore corrispondente per questo lavoro

Facoltà di Scienze Matematiche, Fisiche e Naturali

Risultato della ricerca: Contributo in rivista › Articolo

Abstract

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.

Lingua originale	Inglese
pagine (da-a)	281-286
Numero di pagine	6
Rivista	COMPTES RENDUS DE L'ACADÉMIE DES SCIENCES. SÉRIE 1, MATHÉMATIQUE
Volume	329
Numero di pubblicazione	4
DOI	https://doi.org/10.1016/S0764-4442(00)88567-5
Stato di pubblicazione	Pubblicato - 1999

All Science Journal Classification (ASJC) codes

Matematica generale

Keywords

Nonlinear elliptic equations
Variational methods

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10.1016/S0764-4442(00)88567-5

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abstract = "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.",

keywords = "Nonlinear elliptic equations, Variational methods, Nonlinear elliptic equations, Variational methods",

author = "Marco Degiovanni and Vicentiu Radulescu",

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KW - Variational methods

KW - Nonlinear elliptic equations

KW - Variational methods

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Perturbations of nonsmooth symmetric nonlinear eigenvalue problems

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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