Compact Trace in Weighted Variable Exponent Sobolev Spaces $W^{1,p(x)}(Omega; v_0, v_1)$
首发时间:2007-11-05
Abstract:We study trace operators in weighted variable exponent Sobolev spaces $W^{1,p(x)}(Omega; v_0, v_1)hookrightarrow L^{q(x)}(partial Omega;w)$ for sufficiently regular unbounded domain $Omega subseteq mathbb{R}^{N}$ $(N geq2)$ with noncompact boundary, where $p(x)$ is a Lipschitz continuous function defined on $Omega$ satisfying $1
0$, the trace operators $W^{1,p(x)}(Omega; v_0, v_1)$ $hookrightarrow$ $L^{q(x)}(partial Omega;w)$ is compact under certain conditions on weight functions $v_0$, $v_1$, $w$.
keywords: weighted variable exponent Lebesgue space weighted variable exponent Sobolev space compact embedding compact trace extension operator
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Compact Trace in Weighted Variable Exponent Sobolev Spaces $W^{1,p(x)}(Omega; v_0, v_1)$
摘要:We study trace operators in weighted variable exponent Sobolev spaces $W^{1,p(x)}(Omega; v_0, v_1)hookrightarrow L^{q(x)}(partial Omega;w)$ for sufficiently regular unbounded domain $Omega subseteq mathbb{R}^{N}$ $(N geq2)$ with noncompact boundary, where $p(x)$ is a Lipschitz continuous function defined on $Omega$ satisfying $1
0$, the trace operators $W^{1,p(x)}(Omega; v_0, v_1)$ $hookrightarrow$ $L^{q(x)}(partial Omega;w)$ is compact under certain conditions on weight functions $v_0$, $v_1$, $w$.
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No.1613116232511942****
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Compact Trace in Weighted Variable Exponent Sobolev Spaces $W^{1,p(x)}(Omega; v_0, v_1)$
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