%0 Journal Article
%T Solutions to perturbed eigenvalue problems of the p-Laplacian in RN
%A Joao Marcos Do O
%J Electronic Journal of Differential Equations
%D 1997
%I Texas State University
%X Using a variational approach, we investigate the existence of solutions for non-autonomous perturbations of the p-Laplacian eigenvalue problem $$ -Delta _pu=f(x,u)quad { m in}quad {Bbb R}^N,. $$ Under the assumptions that the primitive $F(x,u)$ of $f(x,u)$ interacts only with the first eigenvalue, we look for solutions in the space $D^{1,p}({Bbb R}^N)$. Furthermore, we assume a condition that measures how different the behavior of the function $F(x,u)$ is from that of the $p$-power of $u$.
%K Mountain Pass Theorem
%K Palais-Smale Condition
%K First eigenvalue
%U http://ejde.math.txstate.edu/Volumes/1997/11/abstr.html