Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent
We study a nonlinear elliptic problem with Robin type boundary condition, governed by a general Leray–Lions operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero p(·)-capacity. We prove an existence and uniqueness result of a weak solution.
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De Gruyter
2014-11-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2014-0010 |
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doaj-3c6c79a257bc4249bb4717ce8586654d2021-09-06T19:39:54ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2014-11-013420923510.1515/anona-2014-0010Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponentOuaro Stanislas0Ouedraogo Arouna1Soma Safimba2Université de Ouagadougou, Laboratoire d'Analyse Mathématique des Equations (LAME), Unité de Formation et de Recherches en Sciences Exactes et Appliquées, Département de Mathématiques, 03 BP 7021 Ouaga 03 Ouagadougou, Burkina FasoUniversité de Ouagadougou, Laboratoire d'Analyse Mathématique des Equations (LAME), Unité de Formation et de Recherches en Sciences Exactes et Appliquées, Département de Mathématiques, 03 BP 7021 Ouaga 03 Ouagadougou, Burkina FasoUniversité de Ouagadougou, Laboratoire d'Analyse Mathématique des Equations (LAME), Unité de Formation et de Recherches en Sciences Exactes et Appliquées, Département de Mathématiques, 03 BP 7021 Ouaga 03 Ouagadougou, Burkina FasoWe study a nonlinear elliptic problem with Robin type boundary condition, governed by a general Leray–Lions operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero p(·)-capacity. We prove an existence and uniqueness result of a weak solution.https://doi.org/10.1515/anona-2014-0010robin boundary conditiondiffuse measurebiting lemma of chaconmaximal monotone graphradon measure dataweak solutionentropic solutionleray–lions operatorsubdifferential operator35k5535d05 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ouaro Stanislas Ouedraogo Arouna Soma Safimba |
| spellingShingle |
Ouaro Stanislas Ouedraogo Arouna Soma Safimba Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent Advances in Nonlinear Analysis robin boundary condition diffuse measure biting lemma of chacon maximal monotone graph radon measure data weak solution entropic solution leray–lions operator subdifferential operator 35k55 35d05 |
| author_facet |
Ouaro Stanislas Ouedraogo Arouna Soma Safimba |
| author_sort |
Ouaro Stanislas |
| title |
Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent |
| title_short |
Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent |
| title_full |
Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent |
| title_fullStr |
Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent |
| title_full_unstemmed |
Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent |
| title_sort |
multivalued problem with robin boundary condition involving diffuse measure data and variable exponent |
| publisher |
De Gruyter |
| series |
Advances in Nonlinear Analysis |
| issn |
2191-9496 2191-950X |
| publishDate |
2014-11-01 |
| description |
We study a nonlinear elliptic problem with Robin type boundary condition, governed by a general Leray–Lions operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero p(·)-capacity. We prove an existence and uniqueness result of a weak solution. |
| topic |
robin boundary condition diffuse measure biting lemma of chacon maximal monotone graph radon measure data weak solution entropic solution leray–lions operator subdifferential operator 35k55 35d05 |
| url |
https://doi.org/10.1515/anona-2014-0010 |
| work_keys_str_mv |
AT ouarostanislas multivaluedproblemwithrobinboundaryconditioninvolvingdiffusemeasuredataandvariableexponent AT ouedraogoarouna multivaluedproblemwithrobinboundaryconditioninvolvingdiffusemeasuredataandvariableexponent AT somasafimba multivaluedproblemwithrobinboundaryconditioninvolvingdiffusemeasuredataandvariableexponent |
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1717769766081396736 |