On the exterior two-dimensional Dirichlet problem for elliptic equations
| Autor: | Remigio Russo, Christian G. Simader |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Dirichlet problem
Dirichlet conditions Applied Mathematics General Mathematics Mathematical analysis Mathematics::Analysis of PDEs Dirichlet's energy Elliptic boundary value problem Dirichlet integral symbols.namesake Dirichlet eigenvalue Dirichlet's principle Dirichlet boundary condition symbols Mathematics |
| Zdroj: | Ricerche di Matematica. 58:315-328 |
| ISSN: | 1827-3491 0035-5038 |
| DOI: | 10.1007/s11587-009-0066-9 |
| Popis: | A necessary and sufficient condition is given on the boundary datum in order to the Dirichlet problem for an elliptic equation in a two-dimensional exterior Lipschitz domain has a unique solution with a finite Dirichlet integral which converges uniformly at infinity to an assigned constant value. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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