Existence of three nontrivial solutions for a class of fourth-order elliptic equations

Chun Li, Ravi P. Agarwal, Zeng-Qi Ou

Abstract


The existence of three nontrivial solutions is established for a class of fourth-order elliptic equations. Our technical approach is based on Linking Theorem and ($\nabla$)-Theorem.

Keywords


Fourth-order elliptic equations; linking theorem; ($\nabla$)-theorem; critical points

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