The Kellogg property under generalized growth conditions

Abstract

We study minimizers of the Dirichlet phi-energy integral with generalized Orlicz growth. We prove the Kellogg property, the set of irregular points has zero capacity, and give characterizations of semiregular boundary points. The results are new ever for the special cases double phase and Orlicz growth.

references added in section 1; a table added in section 2; assumption of strict convexity added in theorem 5.4; typos fixed