Strong resonance problems for the one-dimensional p-Laplacian

We study the existence of the weak solution of the nonlinear boundary-value problem $$displaylines{ -(|u'|^{p-2}u')'= lambda |u|^{p-2}u + g(u)-h(x)quad hbox{in } (0,pi) ,cr u(0)=u(pi )=0,, }$$ where $p$ and $lambda$ are real numbers, $p$ greater than 1, $hin L^{p'}(0,pi )$ ($p&...

Full description

Bibliographic Details
Main Author: Jiri Bouchala
Format: Article
Language:English
Published: Texas State University 2005-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/08/abstr.html