MMN-4073
Existence of two weak solutions for some elliptic problems involving p(x)-biharmonic operator
Mehdi Khodabakhshi; Seyyed Mansour Vaezpour; Armin Hadjian;Abstract
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 R^N, under a suitable subcritical growth condition with the classical Ambrosetti-Rabinowitz condition. The approach is based on variational methods and critical point theory.
Vol. 24 (2023), No. 2, pp. 829-839
DOI: 10.18514/MMN.2023.4073