Removable sets for H?lder continuous solutions of elliptic equations involving variable exponent
期刊名称:
Journal of Mathematical Analysis and Applications
2015 年
424 卷
2 期
摘要:
We prove the existence and continuity of solutions to obstacle problems with p(x)-type nonstandard growth, and establish the conditions of removability of closed sets for H??lder continuous solutions of the elliptic equations in the framework of variable exponent Sobolev spaces.