Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent
We prove the existence of weak solutions for an anisotropic homoclinic discrete nonlinear system. Suitable Hilbert spaces and norms are constructed. The proof of the main result is based on a minimization method. We also extend the problem by using generalized penality and source functions.
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-05-01
|
| Series: | Nonautonomous Dynamical Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/msds-2020-0002 |
| _version_ | 1818892501281406976 |
|---|---|
| author | Ibrango Idrissa Sanou Rodrigue Koné Blaise Guiro Aboudramane |
| author_facet | Ibrango Idrissa Sanou Rodrigue Koné Blaise Guiro Aboudramane |
| author_sort | Ibrango Idrissa |
| collection | DOAJ |
| description | We prove the existence of weak solutions for an anisotropic homoclinic discrete nonlinear system. Suitable Hilbert spaces and norms are constructed. The proof of the main result is based on a minimization method. We also extend the problem by using generalized penality and source functions. |
| first_indexed | 2024-12-19T17:57:42Z |
| format | Article |
| id | doaj.art-76e920c73e884aa39e56f52f14c9eb97 |
| institution | Directory Open Access Journal |
| issn | 2353-0626 |
| language | English |
| last_indexed | 2024-12-19T17:57:42Z |
| publishDate | 2020-05-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonautonomous Dynamical Systems |
| spelling | doaj.art-76e920c73e884aa39e56f52f14c9eb972022-12-21T20:11:46ZengDe GruyterNonautonomous Dynamical Systems2353-06262020-05-0171223110.1515/msds-2020-0002msds-2020-0002Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponentIbrango Idrissa0Sanou Rodrigue1Koné Blaise2Guiro Aboudramane3Laboratoire d’analyse Mathématiques et d’Informatique (LaMI), UFR, Sciences et Technique, Université Nazi Boni, 01 BP 1091 Bobo 01, Bobo Dioulasso, Burkina-FasoLaboratoire d’analyse Mathématiques et d’Informatique (LaMI), UFR, Sciences Exactes et Appliquées, Université Joseph KI-Zerbo, Ouagadougou, Burkina-FasoLaboratoire d’analyse Mathématiques et d’Informatique (LaMI)„ UFR, Sciences Exactes et Appliquées, Université Joseph KI-Zerbo, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina-FasoLaboratoire d’analyse Mathématiques et d’Informatique (LaMI), UFR, Sciences et Technique, Université Nazi Boni, 01 BP 1091 Bobo 01, Bobo Dioulasso, Burkina-FasoWe prove the existence of weak solutions for an anisotropic homoclinic discrete nonlinear system. Suitable Hilbert spaces and norms are constructed. The proof of the main result is based on a minimization method. We also extend the problem by using generalized penality and source functions.https://doi.org/10.1515/msds-2020-0002critical point theorydiscrete p(.)−laplacian systemweak homoclinic solutions47a7535b3835p3034l0534l3039a7035b20 |
| spellingShingle | Ibrango Idrissa Sanou Rodrigue Koné Blaise Guiro Aboudramane Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent Nonautonomous Dynamical Systems critical point theory discrete p(.)−laplacian system weak homoclinic solutions 47a75 35b38 35p30 34l05 34l30 39a70 35b20 |
| title | Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent |
| title_full | Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent |
| title_fullStr | Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent |
| title_full_unstemmed | Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent |
| title_short | Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent |
| title_sort | weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent |
| topic | critical point theory discrete p(.)−laplacian system weak homoclinic solutions 47a75 35b38 35p30 34l05 34l30 39a70 35b20 |
| url | https://doi.org/10.1515/msds-2020-0002 |
| work_keys_str_mv | AT ibrangoidrissa weakhomoclinicsolutionsofanisotropicdiscretenonlinearsystemwithvariableexponent AT sanourodrigue weakhomoclinicsolutionsofanisotropicdiscretenonlinearsystemwithvariableexponent AT koneblaise weakhomoclinicsolutionsofanisotropicdiscretenonlinearsystemwithvariableexponent AT guiroaboudramane weakhomoclinicsolutionsofanisotropicdiscretenonlinearsystemwithvariableexponent |