Boundedness of solutions of the non-uniformly convex, non-standard growth Laplacian
Petteri Harjulehto, Peter Hästö, Visa Latvala · Complex Variables and Elliptic Equations · 2010
We study the variable exponent p(·)-Laplace equation when p attains the value 1. We prove a removability result and local boundedness for its solutions and obtain a weak continuity result. Our results also apply to (𝒜, ℬ)-solutions of p(·)-growth.