Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 2

Existence and multiplicity of positive solutions for a class of nonlinear elliptic problems

Pages
286–298
DOI
—

Abstract

We study the existence and multiplicity of nonnegative solutions for the nonlinear elliptic problem, -D u+v(x)u=a(x)up+l f(x,u) for x\inW and u=0 on \partialW, where W is a bounded region in RN, N>2, 1

Özet

We study the existence and multiplicity of nonnegative solutions for the nonlinear elliptic problem, -D u+v(x)u=a(x)up+l f(x,u) for x\inW and u=0 on \partialW, where W is a bounded region in RN, N>2, 1

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