Existence of weak solutions for a <i>p</i>-Laplace equation with gradient term

LI Zhong-qing

doi:10.3969/j.issn.1000-5641.2019.03.001

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May 2019

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

Citation:

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

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

doi: 10.3969/j.issn.1000-5641.2019.03.001

LI Zhong-qing

School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China

Received Date: 2017-09-05
Publish Date: 2019-05-25

Abstract

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.
- p-Laplace equations,
- L¹ datum,
- gradient term

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References(8)

References

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