Regularity of Minimizers in the Two-Phase Free Boundary Problems in Orlicz–Sobolev Spaces
Jun Zheng
Southwest Jiaotong University, Chengdu, ChinaBinhua Feng
Northwest Normal University, Lanzhou, ChinaPeihao Zhao
Lanzhou University, China
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Abstract
In this paper, we consider the optimization problem of minimizing in the class of functions with for a given function , where is the class of weakly differentiable functions with . The conditions on the function allow for a different behavior at and at . For , we prove that every minimizer of is -continuous.
Cite this article
Jun Zheng, Binhua Feng, Peihao Zhao, Regularity of Minimizers in the Two-Phase Free Boundary Problems in Orlicz–Sobolev Spaces. Z. Anal. Anwend. 36 (2017), no. 1, pp. 37–47
DOI 10.4171/ZAA/1578