Higher differentiability for solutions of a general class of nonlinear elliptic obstacle problems with Orlicz growth

被引：0
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作者：
Sun-Sig Byun
Cho Namkyeong
机构：
[1] Seoul National University,Department of Mathematical Sciences and Research Institute of Mathematics
[2] Seoul National University,Department of Mathematical Sciences
来源：
Nonlinear Differential Equations and Applications NoDEA | 2022年 / 29卷
关键词：
Fractional Sobolev space; Obstacle problem; Besov space; Differentiability; General growth; Primary 35B65; Secondary 35R06 35D99;
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摘要：
In this paper we study a general class of nonlinear elliptic obstacle problems with Orlicz growth. Our purpose is to prove maximal differentiability of the gradient of solutions in the scale of both fractional Sobolev spaces and Besov spaces. Our regularity results extend the known higher differentiability results for such problems with polynomial growth to those with Orlicz growth.
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