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Existence of Solutions to a Class of Navier Boundary Value Problem Involving the Polyharmonic
School of Sciences, Jimei University, Xiamen, China
- 1 School of Sciences, Jimei University, Xiamen, China
Advances in Pure Mathematics·Volume 08 (2018)·Pages 373–379·Published 17 April 2018·DOI10.4236/apm.2018.84020
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Abstract
This paper is devoted to the following high order elliptic problems under the Navier boundary condition: Without assuming the standard subcritical polynomial growth condition ensuring the compactness of a bounded (P.S.) sequence, we show that the Navier boundary value problem has at least a weak nontrivial solution for all λ > 0 by using mountain pass theorem.
KeywordsNavier Boundary Value ProblemPolyharmonicVariational MethodsMountain Pass Theorem
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