Multiple Solutions for p-Laplacian Type Equations |
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Authors: | CHEN Zi-gao |
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Affiliation: | Department of Mathematics and Information Science, North China University of Water Resourcesand Electric Power, Zhengzhou 450011 China |
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Abstract: | We establish the existence and multiplicity of weak solutions for equations which involve a uniformly convex elliptic operator in divergence form(in particular, a p-Laplacian operator), while the nonlinearity has a(p- 1)-superlinear growth at infinity. Our result completes and extends the relevant results of recent papers. The argument in the proof of our main result relies on the Z2-symmetric version of mountain pass lemma. |
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