Existence and multiplicity of solutions for divergence type elliptic equations

We establish the existence and multiplicity of weak solutions of a problem involving a uniformly convex elliptic operator in divergence form. We find one nontrivial solution by the mountain pass lemma, when the nonlinearity has a $(p-1)$-superlinear growth at infinity, and two nontrivial soluti...

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Hlavní autoři:	Lin Zhao, Peihao Zhao, Xiaoxia Xie
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	Texas State University 2011-03-01
Edice:	Electronic Journal of Differential Equations
Témata:	Nonlinear elliptic equations uniformly convex mountain pass lemma three critical points theorem
On-line přístup:	http://ejde.math.txstate.edu/Volumes/2011/43/abstr.html
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