Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary Conditions
In this article, we consider a class of nonlocal p(x)-Laplace equations with nonlinear boundary conditions. When the nonlinear boundary involves critical exponents, using the concentration compactness principle, mountain pass lemma, and fountain theorem, we can prove the existence and multiplicity o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2024-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2024/3621001 |
| _version_ | 1797267290521075712 |
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| author | Jie Liu Qing Miao |
| author_facet | Jie Liu Qing Miao |
| author_sort | Jie Liu |
| collection | DOAJ |
| description | In this article, we consider a class of nonlocal p(x)-Laplace equations with nonlinear boundary conditions. When the nonlinear boundary involves critical exponents, using the concentration compactness principle, mountain pass lemma, and fountain theorem, we can prove the existence and multiplicity of solutions. |
| first_indexed | 2024-04-25T01:14:14Z |
| format | Article |
| id | doaj.art-f405c35166a0461b8f866b05a8762e3a |
| institution | Directory Open Access Journal |
| issn | 1607-887X |
| language | English |
| last_indexed | 2024-04-25T01:14:14Z |
| publishDate | 2024-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj.art-f405c35166a0461b8f866b05a8762e3a2024-03-10T00:00:03ZengHindawi LimitedDiscrete Dynamics in Nature and Society1607-887X2024-01-01202410.1155/2024/3621001Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary ConditionsJie Liu0Qing Miao1School of Mathematics and Computer ScienceSchool of Mathematics and Computer ScienceIn this article, we consider a class of nonlocal p(x)-Laplace equations with nonlinear boundary conditions. When the nonlinear boundary involves critical exponents, using the concentration compactness principle, mountain pass lemma, and fountain theorem, we can prove the existence and multiplicity of solutions.http://dx.doi.org/10.1155/2024/3621001 |
| spellingShingle | Jie Liu Qing Miao Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary Conditions Discrete Dynamics in Nature and Society |
| title | Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary Conditions |
| title_full | Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary Conditions |
| title_fullStr | Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary Conditions |
| title_full_unstemmed | Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary Conditions |
| title_short | Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary Conditions |
| title_sort | multiple solutions of a nonlocal problem with nonlinear boundary conditions |
| url | http://dx.doi.org/10.1155/2024/3621001 |
| work_keys_str_mv | AT jieliu multiplesolutionsofanonlocalproblemwithnonlinearboundaryconditions AT qingmiao multiplesolutionsofanonlocalproblemwithnonlinearboundaryconditions |