Existence and multiplicity of solutions for class of Navier boundary $p$-biharmonic problem near resonance
DOI:
https://doi.org/10.5269/bspm.v32i2.17522Palavras-chave:
p-biharmonic, resonance, Ekeland's principle, Mountain pass theorem, saddle point theoremResumo
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 and saddle point theorem, theexistence and multiplicity of weak solutions are established.
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2014-09-11
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