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
Recommended Citation
AGHAJANI, ASADOLLAH; SHAMSHIRI, JAMILE; and YAGHOOBI, FRAJOLLAH MOHAMMADI
(2013)
"Existence and multiplicity of positive solutions for a class of nonlinear elliptic problems,"
Turkish Journal of Mathematics: Vol. 37:
No.
2, Article 10.
https://doi.org/10.3906/mat-1107-23
Available at:
https://journals.tubitak.gov.tr/math/vol37/iss2/10