A semilinear elliptic problem involving nonlinear boundary condition and sign-changing potential

In this paper, we study the multiplicity of nontrivial nonnegative solutions for a semilinear elliptic equation involving nonlinear boundary condition and sign-changing potential. With the help of the Nehari manifold, we prove that the semilinear elliptic equation: $$displaylines{ -Delta u+u=lambda...

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Bibliographic Details

Published in:	Electronic Journal of Differential Equations
Main Author:	Tsung-Fang Wu
Format:	Article
Language:	English
Published:	Texas State University 2006-10-01
Subjects:	Semilinear elliptic equations Nehari manifold Nonlinear boundary condition.
Online Access:	http://ejde.math.txstate.edu/Volumes/2006/131/abstr.thml