Interior $C^{1,\alpha}$ regularity of  weak solutions  for a class of quasilinear elliptic equations

Fengping  Yao; Shulin Zhou

doi:10.3934/dcdsb.2016015

Article Contents

2016, Volume 21, Issue 5: 1635-1649. Doi: 10.3934/dcdsb.2016015

This issue Previous Article Local strong solutions to the compressible viscous magnetohydrodynamic equations Next Article Parallelization methods for solving three-temperature radiation-hydrodynamic problems

Interior $C^{1,\alpha}$ regularity of weak solutions for a class of quasilinear elliptic equations

Fengping Yao^1, and
Shulin Zhou^2,

1.
Department of Mathematics,Shanghai University, Shanghai 200444
2.
LMAM, School of Mathematical Sciences, Peking University, Bejing 100871

Received: August 31, 2013

Revised: February 28, 2014

Published: June 2016

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Abstract

In this paper we present a new proof for the interior $C^{1,\alpha}$ regularity of weak solutions for a class of quasilinear elliptic equations, whose prototype is the $p$-Laplace equation.

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Mathematics Subject Classification: 35J20, 35J60, 35J92.

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