Renormalized solutions for a p (·)-Laplacian equation with Neumann nonhomogeneous boundary condition involving diffuse measure data and variable exponent
Mohamed Badr Benboubker, E. Nassouri, Stanislas Ouaro, Urbain Traoré · Moroccan Journal of Pure and Applied Analysis · 2022
Abstract In this paper we prove the existence of at least one renormalized solution for the p(x)-Laplacian equation associated with a maximal monotone operator and Radon measure data. The functional setting involves Sobolev spaces with variable exponent W 1, p ( · ) (Ω).