Besov regularity of solutions to the p-Poisson equation

In this paper, we are concerned with regularity analysis for solutions to nonlinear partial differential equations. Many important practical problems are related with the p-Laplacian. Therefore, we are particularly interested in the smoothness of solutions to the p-Poisson equation. For the full ran...

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Bibliographic Details
Published in:Nonlinear analysis 2016-01, Vol.130, p.298-329
Main Authors: Dahlke, Stephan, Diening, Lars, Hartmann, Christoph, Scharf, Benjamin, Weimar, Markus
Format: Article
Language:English
Subjects:
[formula omitted]-Poisson equation
Besov spaces
Hölder spaces
Nonlinear and adaptive approximation
Regularity of solutions
Wavelets
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Summary:In this paper, we are concerned with regularity analysis for solutions to nonlinear partial differential equations. Many important practical problems are related with the p-Laplacian. Therefore, we are particularly interested in the smoothness of solutions to the p-Poisson equation. For the full range of parameters 1
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2015.10.015