Classical solutions for discrete potential boundary value problems with generalized Leray-Lions type operator and variable exponent
In this article, we prove the existence of solutions for some discrete nonlinear difference equations subjected to a potential boundary type condition. We use a variational technique that relies on Szulkin's critical point theory, which ensures the existence of solutions by ground state and...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Texas State University
2017-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/109/abstr.html |
| _version_ | 1818141312160890880 |
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| author | Bila Adolphe Kyelem Stanislas Ouaro Malick Zoungrana |
| author_facet | Bila Adolphe Kyelem Stanislas Ouaro Malick Zoungrana |
| author_sort | Bila Adolphe Kyelem |
| collection | DOAJ |
| description | In this article, we prove the existence of solutions for some discrete
nonlinear difference equations subjected to a potential boundary type
condition. We use a variational technique that relies on Szulkin's critical
point theory, which ensures the existence of solutions by ground state
and mountain pass methods. |
| first_indexed | 2024-12-11T10:57:52Z |
| format | Article |
| id | doaj.art-1aea3132b8dd489e857fee7aedc8b658 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T10:57:52Z |
| publishDate | 2017-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-1aea3132b8dd489e857fee7aedc8b6582022-12-22T01:09:58ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-04-012017109,116Classical solutions for discrete potential boundary value problems with generalized Leray-Lions type operator and variable exponentBila Adolphe Kyelem0Stanislas Ouaro1Malick Zoungrana2 Univ. Ouaga I, Ouagadougou, Burkina Faso Univ. Ouaga I, Ouagadougou, Burkina Faso Univ. Ouaga I, Ouagadougou, Burkina Faso In this article, we prove the existence of solutions for some discrete nonlinear difference equations subjected to a potential boundary type condition. We use a variational technique that relies on Szulkin's critical point theory, which ensures the existence of solutions by ground state and mountain pass methods.http://ejde.math.txstate.edu/Volumes/2017/109/abstr.htmlPotential boundary type conditionvariational methodcritical pointground state methodPalais-Smale conditionmountain pass theorem |
| spellingShingle | Bila Adolphe Kyelem Stanislas Ouaro Malick Zoungrana Classical solutions for discrete potential boundary value problems with generalized Leray-Lions type operator and variable exponent Electronic Journal of Differential Equations Potential boundary type condition variational method critical point ground state method Palais-Smale condition mountain pass theorem |
| title | Classical solutions for discrete potential boundary value problems with generalized Leray-Lions type operator and variable exponent |
| title_full | Classical solutions for discrete potential boundary value problems with generalized Leray-Lions type operator and variable exponent |
| title_fullStr | Classical solutions for discrete potential boundary value problems with generalized Leray-Lions type operator and variable exponent |
| title_full_unstemmed | Classical solutions for discrete potential boundary value problems with generalized Leray-Lions type operator and variable exponent |
| title_short | Classical solutions for discrete potential boundary value problems with generalized Leray-Lions type operator and variable exponent |
| title_sort | classical solutions for discrete potential boundary value problems with generalized leray lions type operator and variable exponent |
| topic | Potential boundary type condition variational method critical point ground state method Palais-Smale condition mountain pass theorem |
| url | http://ejde.math.txstate.edu/Volumes/2017/109/abstr.html |
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