Nontrivial solution for an anisotropic variable exponent problem with Neumann boundary condition. (English) Zbl 1505.35189
Summary: By using variational methods and critical point theory, we establish the existence of one nontrivial solution for a Neumann problem. We prove the existence by applying the theory of variable exponent Sobolev spaces.
MSC:
| 35J62 | Quasilinear elliptic equations |
| 35J25 | Boundary value problems for second-order elliptic equations |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35A15 | Variational methods applied to PDEs |
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