Turkish Journal of Mathematics
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
DOI
10.3906/mat-1107-23
Keywords
Nehari manifold, critical point, nonlinear elliptic boundary value problem, Palais-Smale sequence
First Page
286
Last Page
298
Recommended Citation
AGHAJANI, A, SHAMSHIRI, J, & YAGHOOBI, F. M (2013). Existence and multiplicity of positive solutions for a class of nonlinear elliptic problems. Turkish Journal of Mathematics 37 (2): 286-298. https://doi.org/10.3906/mat-1107-23
