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.
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
.
DOI: 10.3969/j.issn.1000-1565.2019.02.001
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