Multiple solutions to a class of \(p(x)\)-biharmonic differential inclusion problem with no-flux boundary condition. (English) Zbl 1400.35242
Summary: In this paper, we obtain the existence of at least two nontrivial solutions for a \(p(x)\)-biharmonic differential inclusion problem with no-flux boundary condition. Our approach is variational and it is based on the nonsmooth critical point theory for locally Lipschitz functions.
MSC:
| 35R70 | PDEs with multivalued right-hand sides |
| 35J20 | Variational methods for second-order elliptic equations |
| 35J70 | Degenerate elliptic equations |
Keywords:
\(p(x)\)-biharmonic operator; locally Lipschitz function; nonlinear eigenvalue problem; multiple solutionsReferences:
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