Semilinear elliptic problems with combined nonlinearities on the boundary. (English) Zbl 1376.35013
Summary: We prove the existence of two solutions for some elliptic equations with combined indefinite nonlinearities on the boundary. The main novelty is to consider variational methods together with a suitable split of the Sobolev space \(W^{1,2}(\Omega )\).
MSC:
| 35J10 | Schrödinger operator, Schrödinger equation |
| 35J61 | Semilinear elliptic equations |
| 35J25 | Boundary value problems for second-order elliptic equations |
| 35J20 | Variational methods for second-order elliptic equations |
| 35B09 | Positive solutions to PDEs |
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