EXISTENCE OF TWO WEAK SOLUTIONS FOR SOME ELLIPTIC PROBLEMS INVOLVING p(x)-BIHARMONIC OPERATOR

M. E. H. D. Khodabakhshi,Seyyed mansour Vaezpour,A. R. M. I. N. Hadjian

MISKOLC MATHEMATICAL NOTES（2023）

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摘要

In this paper, we establish the existence of at least two distinct weak solutions for fourth-order PDEs with variable exponents, subject to Navier boundary conditions in a smooth bounded domain in RN, under a suitable subcritical growth condition with the classical Ambrosetti-Rabinowitz condition. The approach is based on variational methods and critical point theory.

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关键词

p ( x ) -biharmonic operator, variable exponent, existence, weak solutions, variational, methods, critical point

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