Existence and multiplicity of solutions for class of Navier boundary $p$-biharmonic problem near resonance
This paper studies the existence and multiplicity of weak solutions for the following elliptic problem\\ $\Delta(\rho|\Delta u|^{p-2}\Delta u)=\lambda m(x)|u|^{p-2}u+f(x,u)+h(x)$ in $\Omega,$\\$u=\Delta u=0$ on $\partial\Omega.$ By using Ekeland's variationalprinciple, Mountain pass theorem a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2014-09-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/17522 |