Global strong solvability of Dirichlet problem for a class of nonlinear elliptic equations in the plane
<span style="font-style: normal;"><span>Global solvability and uniqueness results are established for Dirichlet's problem for a class of nonlinear differential equations on a convex domain in the plane, where the nonlinear operator is elliptic in sense of Campanato. We pro...
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
1993-11-01
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| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/564 |
| Summary: | <span style="font-style: normal;"><span>Global solvability and uniqueness results are established for Dirichlet's problem for a class of nonlinear differential equations on a convex domain in the plane, where the nonlinear operator is elliptic in sense of Campanato. We prove existence by means of the Leray-Schauder fixed point theorem, using Alexandrov-Pucci maximum principle in order to find a priori estimate for the solution.</span></span> |
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| ISSN: | 0373-3505 2037-5298 |