Removable sets in elliptic equations with Musielak-Orlicz growth

2020/01/18 by Chlebicka, Iwona, Karppinen, Arttu · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2001.06726

Abstract

We characterize, in the terms of intrinsic Hausdorff measures, the size of~removable sets for Hölder continuous solutions to elliptic equations with Musielak-Orlicz growth. In the general case we provide an elegant form of the measure that captures -- as special cases -- the classical results, slightly refines the ones provided for problems stated in the variable exponent and double phase spaces and essentially improves the known one in the Orlicz case.

Cited by

• Carleson-type removability for p-parabolic equations

Related

• Removable sets in non-uniformly elliptic problems
• Measure data elliptic problems with generalized Orlicz growth
• Hausdorff dimension of removable sets for elliptic and canceling homogeneous differential operators in the class of bounded functions
• Volume Estimates for Singular sets and Critical Sets of Elliptic Equations with Hölder Coefficients
• On removable singularities for solutions of Neumann problem for elliptic equations involving variable exponent