具有凸凹项非齐次拟线性椭圆方程的多解性

Abstract

Abstract:

In this paper we show that the inhomogeneous quasilinear elliptic equations
{-div(Φ(|∨u|)∨u)=μ|u|^q-2u+λ|u|^p-2u in Ω,
u=0 on∂Ω,
where Ω ( R^N is a bounded domain with smooth boundary ∂Ω, and μ, λ ∈ R are two parameters, possess infinitely many weak solutions in Orlicz-Sobolev space by using variational methods.

Key words: Inhomogeneous quasilinear elliptic equations, Orlicz-Sobolev space, Variational methods

CLC Number:

35J60

LIANG Zhan-Ping, SU Jia-Bao. Solutions to Inhomogeneous Quasilinear Elliptic Problems with Concave-Convex Type Nonlinearities[J].Acta mathematica scientia,Series A, 2014, 34(2): 217-226.

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Solutions to Inhomogeneous Quasilinear Elliptic Problems with Concave-Convex Type Nonlinearities

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