Perturbations of nonsmooth symmetric nonlinear eigenvalue problems

被引：15

作者：

Degiovanni, M

Radulescu, V

机构：

[1] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, I-25121 Brescia, Italy

[2] Univ Craiova, Dept Math, Craiova 1100, Romania

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1999年 / 329卷 / 04期

关键词：

D O I：

10.1016/S0764-4442(00)88567-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 1999 Academie des Sciences / Editions scientifiques et medicales Elsevier SAS.

引用

页码：281 / 286

页数：6

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