Study Of Some Problems To A-Harmonic Equation

Posted on:2004-05-16

Degree:Master

Type:Thesis

Country:China

Candidate:L Liu

Full Text:PDF

GTID:2120360122961124

Subject:Applied Mathematics

Abstract/Summary:

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In this paper,we study the A-harmonic equationWe first prove a local Ar-weighted Caccioppoli-type inequality for weak solutions to A-harmonic equation. Then, by using the methods of Hodge decomposition and the weak reverse Holder inequality, we prove a regularity result for very weak solutions to A-harmonic equation.

Keywords/Search Tags:

A-harmonic equation, Caccioppoli-type inequality, A_r~λ-condition, Hodge decomposition, weak reverse Holder inequality.

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