A regularity result of entropy solutions

doi:10.3969/j.issn.1000-1565.2019.02.001

Journal of Hebei University (Natural Science Edition) ›› 2019, Vol. 39 ›› Issue (2): 113-117.DOI: 10.3969/j.issn.1000-1565.2019.02.001

A regularity result of entropy solutions

ZHANG Qi¹, WANG Lianhong², GAO Hongya²

1.Computer Center of Experiment, Chengde Medical College, Chengde 067000, China; 2.College of Mathematics and Information Science, Hebei University, Baoding 071002, China

Received:2018-07-21 Online:2019-03-25 Published:2019-03-25

Abstract

Abstract: 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.

Key words: regularity, entropy solution, anisotropic elliptic equation, boundary value problem.

CLC Number:

O175.23

ZHANG Qi, WANG Lianhong, GAO Hongya. A regularity result of entropy solutions[J]. Journal of Hebei University (Natural Science Edition), 2019, 39(2): 113-117.

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A regularity result of entropy solutions

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