Nehari manifold and multiplicity result for elliptic equation involving p-laplacian problems
This article shows the existence and multiplicity of positive solutions of the $p$-Laplacien problem $$\displaystyle -\Delta_{p} u=\frac{1}{p^{\ast}}\frac{\partial F(x,u)}{\partial u} + \lambda a(x)|u|^{q-2}u \quad \mbox{for } x\in\Omega;\quad \quad u=0,\quad \mbox{for } x\in\partial\Omega$$ where $...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Sociedade Brasileira de Matemática
2018-10-01
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Series: | Boletim da Sociedade Paranaense de Matemática |
Subjects: | |
Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/34078 |