Remarks on multiplicity of solutions for a subquadratic elliptic equation

Journal of Mathematical Analysis and Applications（2015）

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摘要

We consider a subquadratic elliptic equation in a bounded domain Ω⊂RN (N⩾1). By the Clark Theorem, we obtain the existence and multiplicity of its nontrivial solutions, and we show that this result has a great relationship with Ω itself. The above argument can be extended to biharmonic equations.

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关键词

Elliptic equations,Subquadratic potentials,Boundary value problem,Clark Theorem,Critical points

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