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Turkish Journal of Mathematics

DOI

10.3906/mat-1107-23

Abstract

We study the existence and multiplicity of nonnegative solutions for the nonlinear elliptic problem, -\Delta u+v(x)u=a(x)u^p+\lambda f(x,u) for x\in\Omega and u=0 on \partial\Omega, where \Omega is a bounded region in R^N, N>2, 1

Keywords

Nehari manifold, critical point, nonlinear elliptic boundary value problem, Palais-Smale sequence

First Page

286

Last Page

298

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