ON THE EXISTENCE OF THREE SOLUTIONS FOR QUASILINEAR ELLIPTIC PROBLEM

被引：0

作者：

Goncerz, Pawel ^{[1
]}

机构：

[1] Jagiellonian Univ, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland

来源：

OPUSCULA MATHEMATICA | 2012年 / 32卷 / 03期

关键词：

critical point; elliptic problem; minimax inequality; p-Laplacian; three critical points theorem; weak solution;

D O I：

10.7494/OpMath.2012.32.3.473

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a quasilinear elliptic problem of the type -Delta(p)u = lambda(f (u) + mu g (u)) in Omega, u vertical bar(partial derivative Omega) = 0, where Omega subset of R-N is an open and bounded set, f, g are continuous real functions on R and lambda, mu is an element of R. We prove the existence of at least three solutions for this problem using the so called three critical points theorem due to Ricceri.

引用

页码：473 / 486

页数：14

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