非齐次散度型椭圆方程的带有非齐次边界条件的边界值问题, 在控制增长条件、强制性条件以及非齐次项的适当的可积性假设条件下,利用Stampacchia引理和Sobolev空间的分析方法,得到了熵解的正则性结果,推广了已知的结果.
This paper deals with nonhomogeneous boundary value problem for nonhomogeneous divergence type elliptic equation. A regularity result is derived for entropy solutions under some controllable and coercivity conditions, and some proper integrable assumptions on the nonlinear term,by using the classical Stampacchia Lemma and the methods in Sobolev spaces. The result obtained in this paper can be regarded as a generalization of the classical results.
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