Orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in Reifenberg domains

Orlicz estimates for general parabolic obstacle problems with p(t,x)-growth in Reifenberg domains

This article shows a global gradient estimate in the framework of Orlicz spaces for general parabolic obstacle problems with p(t,x)-Laplacian in a bounded rough domain. It is assumed that the variable exponent p(t,x) satisfies a strong log-Holder continuity, that the associated nonlinearity is...

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Bibliographic Details
Main Authors: Hong Tian, Shenzhou Zheng
Format: Article
Language:English
Published: Texas State University 2020-01-01
Series:Electronic Journal of Differential Equations
Subjects:
parabolic obstacle problems
discontinuous nonlinearities
p(t,x)-growth
orlicz spaces
reifenberg flat domains
Online Access:http://ejde.math.txstate.edu/Volumes/2020/13/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2020/13/abstr.html

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