In this work, we study a multiplicity result related to a $ p(\tau) $-Biharmonic equation involving singular and Hardy nonlinearities. More precisely, we use the variational method to develop the analysis of the fibering map in the Nehari manifold sets to prove the existence of two nontrivial solutions for such a problem.
Citation: Ramzi Alsaedi. Existence of multiple solutions for a singular $ p(\cdot) $-biharmonic problem with variable exponents[J]. AIMS Mathematics, 2025, 10(2): 3779-3796. doi: 10.3934/math.2025175
In this work, we study a multiplicity result related to a $ p(\tau) $-Biharmonic equation involving singular and Hardy nonlinearities. More precisely, we use the variational method to develop the analysis of the fibering map in the Nehari manifold sets to prove the existence of two nontrivial solutions for such a problem.
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