Solution to a semilinear problem on type II regions determined by the Fucik spectrum

We prove the existence of solutions to the semi-linear problem $$displaylines{ u''(x)+alpha u^+(x)+ta u^-(x)=f(x),,quad xin (0,pi),,cr u(0)=u(pi)=0 } $$ where the point $(alpha,eta)$ falls in regions of type (II) between curves of the Fucik spectrum. We use a variational method based on th...

Full description

Bibliographic Details
Main Author: Petr Tomiczek
Format: Article
Language:English
Published: Texas State University 2003-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/08/abstr.html