Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the \(p(x)\)-Laplacian

Publication date: 21 July 2017

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.06998

zbMATH Keywords

singular perturbation free boundary problem variable exponent spaces inhomogeneous problem regularity of the free boundary

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Free boundary problems for PDEs (35R35)

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