Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary Condition
<p/> <p>In this paper, we establish two different existence results of solutions for a nonlocal elliptic equations with nonlinear boundary condition. The first one is based on Galerkin method, and gives a priori estimate. The second one is based on Mountain Pass Lemma.</p>
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2009/540360 |
| _version_ | 1819262333782851584 |
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| author | Wang Fanglei An Yukun |
| author_facet | Wang Fanglei An Yukun |
| author_sort | Wang Fanglei |
| collection | DOAJ |
| description | <p/> <p>In this paper, we establish two different existence results of solutions for a nonlocal elliptic equations with nonlinear boundary condition. The first one is based on Galerkin method, and gives a priori estimate. The second one is based on Mountain Pass Lemma.</p> |
| first_indexed | 2024-12-23T19:56:02Z |
| format | Article |
| id | doaj.art-2a849e21090f4764bfb500fc096aa8ac |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-23T19:56:02Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-2a849e21090f4764bfb500fc096aa8ac2022-12-21T17:33:14ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-0120091540360Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary ConditionWang FangleiAn Yukun<p/> <p>In this paper, we establish two different existence results of solutions for a nonlocal elliptic equations with nonlinear boundary condition. The first one is based on Galerkin method, and gives a priori estimate. The second one is based on Mountain Pass Lemma.</p>http://www.boundaryvalueproblems.com/content/2009/540360 |
| spellingShingle | Wang Fanglei An Yukun Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary Condition Boundary Value Problems |
| title | Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary Condition |
| title_full | Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary Condition |
| title_fullStr | Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary Condition |
| title_full_unstemmed | Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary Condition |
| title_short | Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary Condition |
| title_sort | existence of nontrivial solution for a nonlocal elliptic equation with nonlinear boundary condition |
| url | http://www.boundaryvalueproblems.com/content/2009/540360 |
| work_keys_str_mv | AT wangfanglei existenceofnontrivialsolutionforanonlocalellipticequationwithnonlinearboundarycondition AT anyukun existenceofnontrivialsolutionforanonlocalellipticequationwithnonlinearboundarycondition |