A priori bounds and existence of solutions for some nonlocal elliptic problems
In this paper we show existence of solutions for some elliptic problems with nonlocal diffusion by means of nonvariational tools. Our proof is based on the use of topological degree, which requires a priori bounds for the solutions. We obtain the a priori bounds by adapting the classical scaling met...
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todo:paper_02132230_v34_n1_p195_Barrios2023-10-03T15:10:06Z A priori bounds and existence of solutions for some nonlocal elliptic problems Barrios, B. Del Pezzo, L. García-Melián, J. Quaas, A. A priori estimates Nonlocal diffusion problems Topological degree In this paper we show existence of solutions for some elliptic problems with nonlocal diffusion by means of nonvariational tools. Our proof is based on the use of topological degree, which requires a priori bounds for the solutions. We obtain the a priori bounds by adapting the classical scaling method of Gidas and Spruck. We also deal with problems involving gradient terms. © 2018 European Mathematical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02132230_v34_n1_p195_Barrios |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
A priori estimates Nonlocal diffusion problems Topological degree |
| spellingShingle |
A priori estimates Nonlocal diffusion problems Topological degree Barrios, B. Del Pezzo, L. García-Melián, J. Quaas, A. A priori bounds and existence of solutions for some nonlocal elliptic problems |
| topic_facet |
A priori estimates Nonlocal diffusion problems Topological degree |
| description |
In this paper we show existence of solutions for some elliptic problems with nonlocal diffusion by means of nonvariational tools. Our proof is based on the use of topological degree, which requires a priori bounds for the solutions. We obtain the a priori bounds by adapting the classical scaling method of Gidas and Spruck. We also deal with problems involving gradient terms. © 2018 European Mathematical Society. |
| format |
JOUR |
| author |
Barrios, B. Del Pezzo, L. García-Melián, J. Quaas, A. |
| author_facet |
Barrios, B. Del Pezzo, L. García-Melián, J. Quaas, A. |
| author_sort |
Barrios, B. |
| title |
A priori bounds and existence of solutions for some nonlocal elliptic problems |
| title_short |
A priori bounds and existence of solutions for some nonlocal elliptic problems |
| title_full |
A priori bounds and existence of solutions for some nonlocal elliptic problems |
| title_fullStr |
A priori bounds and existence of solutions for some nonlocal elliptic problems |
| title_full_unstemmed |
A priori bounds and existence of solutions for some nonlocal elliptic problems |
| title_sort |
priori bounds and existence of solutions for some nonlocal elliptic problems |
| url |
http://hdl.handle.net/20.500.12110/paper_02132230_v34_n1_p195_Barrios |
| work_keys_str_mv |
AT barriosb aprioriboundsandexistenceofsolutionsforsomenonlocalellipticproblems AT delpezzol aprioriboundsandexistenceofsolutionsforsomenonlocalellipticproblems AT garciamelianj aprioriboundsandexistenceofsolutionsforsomenonlocalellipticproblems AT quaasa aprioriboundsandexistenceofsolutionsforsomenonlocalellipticproblems AT barriosb prioriboundsandexistenceofsolutionsforsomenonlocalellipticproblems AT delpezzol prioriboundsandexistenceofsolutionsforsomenonlocalellipticproblems AT garciamelianj prioriboundsandexistenceofsolutionsforsomenonlocalellipticproblems AT quaasa prioriboundsandexistenceofsolutionsforsomenonlocalellipticproblems |
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