On the exterior two-dimensional Dirichlet problem for elliptic equations |
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| Authors: | Remigio Russo Christian G. Simader |
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| Affiliation: | 1.Dipartimento di Matematica,Seconda Università di,Caserta,Italy;2.Department of Mathematics,University of Bayreuth,Bayreuth,Germany |
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| Abstract: | 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. |
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