Solutions to Perturbed Eigenvalue Problems of the p-Laplacian in R(N)
Date
1997-07-15
Authors
do O, Joao Marcos
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
Using a variational approach, we investigate the existence of solutions for non-autonomous perturbations of the p-Laplacian eigenvalue problem
-Δpu = ƒ(x, u) in ℝN.
Under the assumptions that the primitive F(x, u) of ƒ(x, u) interacts only with the first eigenvalue, we look for solutions in the space D1,p (ℝN). 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.
Description
Keywords
Mountain Pass Theorem, Palais-Smale Condition, First eigenvalue
Citation
Marcos, J. B. (1997). Solutions to perturbed eigenvalue problems of the p-Laplacian in R(N). <i>Electronic Journal of Differential Equations, 1997</i>(11), pp. 1-15.
Rights
Attribution 4.0 International