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arXiv · 1805.11469

$L^{\Phi(A(x,\cdot))}$ estimate for the gradient in $W^{1,A(x,\cdot)}$

Duchao Liu·Beibei Wang·Sibei Yang
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Abstract

Under appropriate assumptions on the $N(\Omega)$-fucntion, the $L^{\Phi(A(x,\cdot))}$ estimate for the gradient of the minimizers of a class of energy functional in Musielak-Orlicz-Sobolev space $W^{1,A(x,\cdot)}$ is presented by using Calder\'{o}n-Zygmund decomposition.

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Duchao Liu, Beibei Wang, Sibei Yang. 2018-05-26. $L^{\Phi(A(x,\cdot))}$ estimate for the gradient in $W^{1,A(x,\cdot)}$. https://arxiv.org/abs/1805.11469

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