Existence of two nontrivial solutions for a class of elliptic eigenvalue problems

被引：5

作者：

Marano, SA

Motreanu, D

机构：

[1] Univ Reggio Calabria, Dipartimento Patrimonio Architetton & Urbanist, I-89100 Reggio Di Calabria, Italy

[2] Univ Al L Cuza, Fac Matemat, Iasi 6600, Romania

[3] Univ Catania, Dipartimento Matemat, I-95125 Catania, Italy

来源：

ARCHIV DER MATHEMATIK | 2000年 / 75卷 / 01期

关键词：

Weak Solution; Eigenvalue Problem; Nontrivial Solution; Mountain Pass Theorem; Elliptic Eigenvalue Problem;

D O I：

10.1007/s000130050473

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a family of elliptic eigenvalue problems, already investigated by B. Ricceri in [2, 3], the existence of two nontrivial weak solutions is established. The approach taken makes use of the Mountain Pass Theorem.

引用

页码：53 / 58

页数：6