Stampacchia lemma, generalizations and application

doi:10.3969/j.issn.1000-1565.2021.05.004

Journal of Hebei University(Natural Science Edition) ›› 2021, Vol. 41 ›› Issue (5): 481-487.DOI: 10.3969/j.issn.1000-1565.2021.05.004

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Stampacchia lemma, generalizations and application

GAO Hongya¹, GAO Siyu²

1. Hebei Key Laboratory of Machine Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University, Baoding 071002, China; 2. Department of Mathematics, University of North Texas, Denton 76203, USA

Received:2021-02-07 Online:2021-09-25 Published:2021-09-28

Abstract

Abstract: The classical Stampacchia lemma has been widely used in the regularity theory of elliptic partial differential equations and systems as well as variational problems. This paper summarizes the Stampacchia lemma and their generalizations, and give an application to the regularity theory of degenerate elliptic partial differential equations.

Key words: Stampacchia lemma, generalization, elliptic partial differential equation, variational problems, regularity

CLC Number:

O175.23

GAO Hongya, GAO Siyu. Stampacchia lemma, generalizations and application[J]. Journal of Hebei University(Natural Science Edition), 2021, 41(5): 481-487.

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