BREZIS-MERLE TYPE INEQUALITY FOR A WEAKSOLUTION TO THE N-LAPLACE EQUATION INLORENTZ-ZYGMUND SPACES

NORISUKE IOKU

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BREZIS-MERLE TYPE INEQUALITY FOR A WEAKSOLUTION TO THE N-LAPLACE EQUATION INLORENTZ-ZYGMUND SPACES

机译：劳伦兹-齐格蒙德空间N-空间方程弱解的BREZIS-MERLE型不等式

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We consider a regularity estimate for a solution of the homo-geneous Dirichlet problem for N-Laplace equations in a bounded domain R~Nwith external forcef∈L~1(Ω).Introducing the generalizedLorentz-Zygmund space, we show the multiple exponential integrabilityof the Brezis-Merle type for an entropy solution of the Dirichlet prob-lem of the N-Laplace equation. We also discuss conditions on f thatguarantee the solutions are bounded.

机译：在外力f∈L〜1（Ω）的有界域R〜N中，我们考虑了N-Laplace方程的齐次Dirichlet问题解的正则性估计。在推广Lorentz-Zygmund空间的情况下，我们证明了N-拉普拉斯方程Dirichlet问题的熵解的Brezis-Merle类型。我们还讨论了保证解有界的条件。

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来源
《Differential and integral equations》 |2009年第6期|共24页
作者
NORISUKE IOKU;
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原文格式 PDF
正文语种 eng
中图分类微分方程、积分方程;
关键词
BREZIS-MERLE; INEQUALITY; SPACES;

机译：BREZIS-MERLE;不平等;空间;

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BREZIS-MERLE TYPE INEQUALITY FOR A WEAKSOLUTION TO THE N-LAPLACE EQUATION INLORENTZ-ZYGMUND SPACES

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