Nonlinear multivalued problems with variable exponent and diffuse measure data in anisotropic space
Ibrahime Konaté, Stanislas Ouaro · Gulf Journal of Mathematics · 2018
We study a nonlinear elliptic problem governed by a general anisotropic operator with variable exponents and Radon diffuse measure data. We start by proving the existence of a renormalized solution and we establish that the notion of renormalized solution is equivalent to the notion of entropy solution. Finally, we show the uniqueness of the entropy solution.