Journal of Hebei University (Natural Science Edition) ›› 2019, Vol. 39 ›› Issue (6): 568-572.DOI: 10.3969/j.issn.1000-1565.2019.06.002

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Generalization of Holder's inequality and it's applications

HUANG Miaomiao1, WANG Fengli2, GAO Hongya1   

  1. 1.Key Laboratory of Machine Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University, Baoding 071002, China; 2.School of Architecture, Shijiazhuang University of Applied Technology, Shijiazhuang 050081, China
  • Received:2019-04-27 Online:2019-11-25 Published:2019-11-25

Abstract: A generalization of the classical Hölders inequality is given, which is applied to the study the boundary value problems of nonlinear divergence type elliptic equation when the boundary value is not zero. The regularity property of the solution is obtained by using Stampacchia lemma and the technique of Sobolev spaces.

Key words: generalization of Hö, lders inequality, boundary value problem, regularity.

CLC Number: