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. <i>Electronic Journal of Differential Equations, 1997</i>(13), pp. 1-10.
Rights
Attribution 4.0 International