Superlinear Fourth-Order Elliptic Problem Without Ambrosetti and Rabinowitz Growth Condition

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Abstract

This paper deals with superlinear fourth-order elliptic problem under Navier boundary condition. By using the mountain pass theorem and suitable truncation, a multiplicity result is established for all $λ > 0$ and some previous result is extended.

Keywords:

fourth-order elliptic problem variational method mountain pass theorem Navier boundary condition.
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Superlinear Fourth-Order Elliptic Problem Without Ambrosetti and Rabinowitz Growth Condition. (2021). Communications in Mathematical Research, 29(1), 23-31. https://www.global-sci.com/index.php/cmr/article/view/8753