Global regularity for solutions of a class of quasilinear elliptic equations-Reference-Cited by-同舟云学术

Global regularity for solutions of a class of quasilinear elliptic equations

Published:2013-11-07 Issue:1 Volume:2013 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Lu Yueming,Wang Tingting,Bao Gejun,Li Guanfeng

Abstract

Abstract We derive interior and global Hölder estimates for solutions of a class of quasilinear elliptic equations. First, the interior Hölder continuity is obtained by the iteration of an oscillation estimate. Then, the Hölder continuity up to the boundary is established in domains with certain boundary constraints. Last, we prove the global Hölder continuity of solutions provided that their restrictions on boundary are Hölder continuous. The concluding section presents an application to illustrate our main results. MSC:35B65, 35J60.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1029-242X-2013-496.pdf

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