Entropy solutions for nonlinear nonhomogeneous Neumann problems involving the generalized p(x)-Laplace operator and measure data
M. B. Benboubker
Laboratoire d’Analyse Mathématique et Applications (LAMA), Département de Mathématiques, faculté des Sciences Dhar El Mahraz, B.P 1796 Atlas Fès, Morocco
S. Ouaro
Laboratoire d’Analyse Mathématique des Equations (LAME), UFR Sciences Exactes et Appliquées, Université de Ouagadougou, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso
U. Traore
Laboratoire d’Analyse Mathématique des Equations (LAME), UFR Sciences Exactes et Appliquées, Université de Ouagadougou, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso
Received on October 17, 2013
Accepted on April 5, 2014
Communicated by Alexander Pankov
| Abstract. Our aim in this paper is to study the existence of entropy solution for the class of nonlinear p(x)-Laplace problems with Neumann nonhomogeneous boundary conditions and diffuse Radon measure data which does not charge the sets of zero p(.)-capacity. | |
| Keywords: | Generalized Sobolev space, Neumann boundary conditions, Entropy solution, Radon measure, p(.)-capacity. |
| 2010 Mathematics Subject Classification: 35J20, 35J25, 35D30, 35B38, 35J60. | |