Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains
Abstract We study the existence and multiplicity of positive radial solutions for a coupled elliptic system in exterior domains where the nonlinearities depend on the gradients and the boundary conditions are nonlocal. We use a new cone to establish the existence of solutions by means of fixed point...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-05-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-020-01384-7 |
| _version_ | 1818150662888751104 |
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| author | Filomena Cianciaruso Luigi Muglia Paolamaria Pietramala |
| author_facet | Filomena Cianciaruso Luigi Muglia Paolamaria Pietramala |
| author_sort | Filomena Cianciaruso |
| collection | DOAJ |
| description | Abstract We study the existence and multiplicity of positive radial solutions for a coupled elliptic system in exterior domains where the nonlinearities depend on the gradients and the boundary conditions are nonlocal. We use a new cone to establish the existence of solutions by means of fixed point index theory. |
| first_indexed | 2024-12-11T13:26:30Z |
| format | Article |
| id | doaj.art-2bc12feda8e14cd998123211998e54c5 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-11T13:26:30Z |
| publishDate | 2020-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-2bc12feda8e14cd998123211998e54c52022-12-22T01:05:30ZengSpringerOpenBoundary Value Problems1687-27702020-05-012020111710.1186/s13661-020-01384-7Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domainsFilomena Cianciaruso0Luigi Muglia1Paolamaria Pietramala2Dipartimento di Matematica e Informatica, Università della CalabriaDipartimento di Matematica e Informatica, Università della CalabriaDipartimento di Matematica e Informatica, Università della CalabriaAbstract We study the existence and multiplicity of positive radial solutions for a coupled elliptic system in exterior domains where the nonlinearities depend on the gradients and the boundary conditions are nonlocal. We use a new cone to establish the existence of solutions by means of fixed point index theory.http://link.springer.com/article/10.1186/s13661-020-01384-7Elliptic systemDependence on the gradientNonlocal boundary conditionsFixed point indexConePositive solution |
| spellingShingle | Filomena Cianciaruso Luigi Muglia Paolamaria Pietramala Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains Boundary Value Problems Elliptic system Dependence on the gradient Nonlocal boundary conditions Fixed point index Cone Positive solution |
| title | Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains |
| title_full | Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains |
| title_fullStr | Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains |
| title_full_unstemmed | Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains |
| title_short | Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains |
| title_sort | coupled elliptic systems depending on the gradient with nonlocal bcs in exterior domains |
| topic | Elliptic system Dependence on the gradient Nonlocal boundary conditions Fixed point index Cone Positive solution |
| url | http://link.springer.com/article/10.1186/s13661-020-01384-7 |
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