An Introductory View of the Weak Solution of the p-Laplacian Equation

Dong, Albert Zhengyuan

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An Introductory View of the Weak Solution of the p-Laplacian Equation

Date

2016

Authors

Dong, Albert Zhengyuan

Abstract

In this paper we will explore the various property of the weak solutions of the p-Laplacian equation: div(|Du|p-2Du) = 0 for 1 < p < 2, including existence, uniqueness theory, di erentiability and regularity results.