测度数据 $p(x)$-Laplace方程的障碍问题
he obstacle problem for $p(x)$-Laplace equation with measure data
本文研究一类右端项为Radon测度$mu$的$p(x)$-Laplace方程的障碍问题。在Radon测度$mu$相对于$p(cdot)$-容积绝对连续的假设下,得到了$p(x)$-Laplace方程障碍问题熵解的存在性和惟一性。
In this paper we study the obstacle problem for a class of $p(x)$-Laplace equation with a Radon measure $mu$ on the right-hand side. Under assumption that the Radon measure $mu$ is absolutely continuous with respect to the relative $p(cdot)$-capacity, the existence and uniqueness of entropy solutions for the obstacle problem of the $p(x)$-Laplace equation were obtained.
张超
数学
偏微分方程障碍问题$p(x)$-Laplace方程熵解存在性惟一性
partial differential equations obstacle problem $p(x)$-Laplace entropy solutions existence uniqueness
张超.测度数据 $p(x)$-Laplace方程的障碍问题[EB/OL].(2015-11-24)[2025-08-04].http://www.paper.edu.cn/releasepaper/content/201511-428.点此复制
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