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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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 |
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doaj-a9bb0e138d244e3383e8af9e405f6b682020-11-25T03:19:01ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981993-11-01482311321531Global strong solvability of Dirichlet problem for a class of nonlinear elliptic equations in the planeDian K. Palagachev<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>http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/564 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Dian K. Palagachev |
| spellingShingle |
Dian K. Palagachev Global strong solvability of Dirichlet problem for a class of nonlinear elliptic equations in the plane Le Matematiche |
| author_facet |
Dian K. Palagachev |
| author_sort |
Dian K. Palagachev |
| title |
Global strong solvability of Dirichlet problem for a class of nonlinear elliptic equations in the plane |
| title_short |
Global strong solvability of Dirichlet problem for a class of nonlinear elliptic equations in the plane |
| title_full |
Global strong solvability of Dirichlet problem for a class of nonlinear elliptic equations in the plane |
| title_fullStr |
Global strong solvability of Dirichlet problem for a class of nonlinear elliptic equations in the plane |
| title_full_unstemmed |
Global strong solvability of Dirichlet problem for a class of nonlinear elliptic equations in the plane |
| title_sort |
global strong solvability of dirichlet problem for a class of nonlinear elliptic equations in the plane |
| publisher |
Università degli Studi di Catania |
| series |
Le Matematiche |
| issn |
0373-3505 2037-5298 |
| publishDate |
1993-11-01 |
| description |
<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> |
| url |
http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/564 |
| work_keys_str_mv |
AT diankpalagachev globalstrongsolvabilityofdirichletproblemforaclassofnonlinearellipticequationsintheplane |
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1724624283140882432 |