Journal article
Hölder continuity of weak solutions of a class of linear equations with boundary degeneracy
Journal of Differential Equations, Vol.239(1), pp.99-131
2007
DOI: 10.1016/j.jde.2007.03.026
Abstract
This paper deals with a class of linear equations with boundary degeneracy. According to the degenerate ratio, the equations are divided into weakly degenerate ones and strongly degenerate ones, which should be supplemented by different Dirichlet boundary value conditions. After establishing some necessary existence, nonexistence and comparison principles, we investigate the optimal Hölder continuity of weak solutions in these two cases utilizing the Harnack inequality and the Morrey theorem, respectively.
Details
- Title: Subtitle
- Hölder continuity of weak solutions of a class of linear equations with boundary degeneracy
- Creators
- Chunpeng Wang - Department of Mathematics, Jilin University, Changchun 130012, PR ChinaLihe Wang - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USAJingxue Yin - Department of Mathematics, Jilin University, Changchun 130012, PR ChinaShulin Zhou - School of Mathematical Sciences, Peking University, Beijing 100871, PR China
- Resource Type
- Journal article
- Publication Details
- Journal of Differential Equations, Vol.239(1), pp.99-131
- DOI
- 10.1016/j.jde.2007.03.026
- ISSN
- 0022-0396
- eISSN
- 1090-2732
- Publisher
- Elsevier Inc
- Language
- English
- Date published
- 2007
- Academic Unit
- Mathematics
- Record Identifier
- 9984083239402771
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