A Caccioppoli-type estimate for very weak solutions to obstacle problems with weight

被引:0
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作者
Gao Hongya
Qiao Jinjing
机构
[1] Hebei University,College of Mathematics and Computer Science
[2] Hunan Normal University,College of Mathematics and Computer Science
关键词
Caccioppoli-type estimate; very weak solution; obstacle problem; Mucken-houpt weight; -harmonic equation;
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摘要
This paper gives a Caccioppoli-type estimate for very weak solutions to obstacle problems of the A-harmonic equation divA(x,∇u)=0 with |A(x,ξ)|≈w(x)|ξ|p-1, where 1 < p < ∞ and w(x) be a Muckenhoupt A1 weight.
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