Multiplicity results for positive solutions to non-autonomous elliptic problems
We are concerned with the multiplicity of positive solutions for non-autonomous elliptic equations with Dirichlet and Neumann boundary conditions. Using Ljusternik-Schnirelmann theory, we show that the number of solutions is affected by the shape of the potential functions.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
1999-09-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1999/28/abstr.html |
| _version_ | 1818833135031287808 |
|---|---|
| author | Ning Qiao Zhi-Qiang Wang |
| author_facet | Ning Qiao Zhi-Qiang Wang |
| author_sort | Ning Qiao |
| collection | DOAJ |
| description | We are concerned with the multiplicity of positive solutions for non-autonomous elliptic equations with Dirichlet and Neumann boundary conditions. Using Ljusternik-Schnirelmann theory, we show that the number of solutions is affected by the shape of the potential functions. |
| first_indexed | 2024-12-19T02:14:06Z |
| format | Article |
| id | doaj.art-7eb1f53023084fbcb3fd41ab2be9764f |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-19T02:14:06Z |
| publishDate | 1999-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-7eb1f53023084fbcb3fd41ab2be9764f2022-12-21T20:40:30ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911999-09-01199928128Multiplicity results for positive solutions to non-autonomous elliptic problemsNing QiaoZhi-Qiang WangWe are concerned with the multiplicity of positive solutions for non-autonomous elliptic equations with Dirichlet and Neumann boundary conditions. Using Ljusternik-Schnirelmann theory, we show that the number of solutions is affected by the shape of the potential functions.http://ejde.math.txstate.edu/Volumes/1999/28/abstr.htmlMultiplicity of solutionsnon-autonomous equationsLjusternik-Schnirelmann category. |
| spellingShingle | Ning Qiao Zhi-Qiang Wang Multiplicity results for positive solutions to non-autonomous elliptic problems Electronic Journal of Differential Equations Multiplicity of solutions non-autonomous equations Ljusternik-Schnirelmann category. |
| title | Multiplicity results for positive solutions to non-autonomous elliptic problems |
| title_full | Multiplicity results for positive solutions to non-autonomous elliptic problems |
| title_fullStr | Multiplicity results for positive solutions to non-autonomous elliptic problems |
| title_full_unstemmed | Multiplicity results for positive solutions to non-autonomous elliptic problems |
| title_short | Multiplicity results for positive solutions to non-autonomous elliptic problems |
| title_sort | multiplicity results for positive solutions to non autonomous elliptic problems |
| topic | Multiplicity of solutions non-autonomous equations Ljusternik-Schnirelmann category. |
| url | http://ejde.math.txstate.edu/Volumes/1999/28/abstr.html |
| work_keys_str_mv | AT ningqiao multiplicityresultsforpositivesolutionstononautonomousellipticproblems AT zhiqiangwang multiplicityresultsforpositivesolutionstononautonomousellipticproblems |