Existence theorem for Dirichlet problem for differential inclusion driven by the \(p(x)\)-Laplacian. (English) Zbl 1346.35248
Summary: We study a class of second-order differential inclusion problem involving the \(p(x)\)-Laplacian.Using the techniques from multivalued analysis and the Leray-Schauder fixed point theorem, we establish the existence theorems under certain conditions.
MSC:
| 35R70 | PDEs with multivalued right-hand sides |
| 35R20 | Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) |
| 35J25 | Boundary value problems for second-order elliptic equations |
| 35J70 | Degenerate elliptic equations |
| 47H10 | Fixed-point theorems |
