Multiple Positive Solutions for Equations Involving Critical Sobolev Exponent in RN
Date
1997-08-19
Authors
Alves, C. O.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
This article concerns with the problem
<pre>−div(|∇u|<sup>m−2</sup> ∇u) = λhu<sup>q</sup> + u<sup>m*−1</sup>, in ℝ<sup>N</sup>.</pre>
<p>Using the Ekeland Variational Principle and the Mountain Pass Theorem, we show the existence of λ* > 0 such that there are at least two non-negative solutions for each λ in (0, λ*).</p>
Description
Keywords
Mountain Pass Theorem, Ekeland Variational Principle
Citation
Alves, C. O. (1997). Multiple positive solutions for equations involving critical Sobolev exponent in RN. Electronic Journal of Differential Equations, 1997(13), pp. 1-10.
Rights
Attribution 4.0 International