Existence and uniqueness results in weighted spaces for Dirichlet problem in unbounded domains. (English) Zbl 1440.35078
Summary: We study the Dirichlet problem for a second order linear elliptic partial differential equation with discontinuous coefficients in unbounded domains. We establish an existence and uniqueness result.
MSC:
| 35J25 | Boundary value problems for second-order elliptic equations |
| 35B45 | A priori estimates in context of PDEs |
| 35R05 | PDEs with low regular coefficients and/or low regular data |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35A02 | Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness |
Keywords:
elliptic equations; Dirichlet problem; discontinuous coefficients; existence and uniquenessReferences:
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