Isotropic and anisotropic PDEs with variable exponent and non-homogeneous Dirichlet boundary conditions

par Stanislas Ouaro (Université Joseph KI-ZERBO, Ouagadougou, Burkina Faso)

jeudi 19 nov. 2026, 16:45 → 17:45 Europe/Paris

E2290 (Tours)

We consider two kind of non linear PDEs with variable exponent: The isotropic one and the anisotropic one. For each of them, we define the admissible solution spaces, study their properties (reflexive Banach spaces) and then show some existence and uniqueness results of weak solutions when the source term is bounded, entropy solutions when the source data is either integrable or a diffuse Radon measure.