Journal of Convex Analysis 21 (2014), No. 4, 1023--1042
Copyright Heldermann Verlag 2014
Multiple Ordered Positive Solutions of an Elliptic Problem Involving the p&q-Laplacian
Francisco Julio S. A. Corrêa
Dep de Matemática e Estatística, Universidade Federal de Campina Grande, 58.429-970 Campina Grande-Paraíba, Brazil
fjulio@ufpa.br
Amanda Suellen S. Corrêa
Faculdade de Matemática, Universidade Federal do Pará, 66.075-110-Belém-Pará, Brazil
João R. Santos Junior
Faculdade de Matemática, Universidade Federal do Pará, 66.075-110-Belém-Pará, Brazil
[Abstract-pdf]
We are concerned with questions of existence and multiplicity of positive solutions of the elliptic problem $$\label{main problem} \left\{\begin{array}{rclcc} -div \;(\mathcal{K}(|\nabla u|^{p})|\nabla u|^{p-2}\nabla u) & = & \lambda f(u) & \mbox{in} & \Omega , \\ u & = & 0 & \mbox{on}& \partial\Omega \end{array} \right. \leqno{(P_{\lambda})} $$ with $1
Keywords: Laplacian, variational methods, multiplicity of positive solutions.
MSC: 35J65, 34B15
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