Journal of East China Normal University(Natural Science) >

2019 , Vol. 2019 >Issue 3: 1 - 5

DOI: https://doi.org/10.3969/j.issn.1000-5641.2019.03.001

Mathematics

Existence of weak solutions for a p-Laplace equation with gradient term

  • LI Zhong-qing
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  • School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China

Received date: 2017-09-05

  Online published: 2019-05-30

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Abstract

This paper is devoted to the study of a quasi-linear elliptic equation with gradient term, where the source term f lies in the space L1. Using the relationship between the coefficient of the zero order term and the source term, the a priori L∞ estimate and the existence of weak solutions are obtained.

Key words： p-Laplace equations; L1 datum; gradient term

Cite this article

LI Zhong-qing . Existence of weak solutions for a p-Laplace equation with gradient term[J]. Journal of East China Normal University(Natural Science), 2019 , 2019(3) : 1 -5 . DOI: 10.3969/j.issn.1000-5641.2019.03.001

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