Continuity of the free boundary in a non-degenerate p-obstacle problem type with monotone solution
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Date
2012-05-22
Authors
Challal, S.
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis
Abstract
We prove the continuity of the free boundary for a non-degenerate p-obstacle problem with monotone solution. The proof uses techniques of comparison and the growth of the solution near free boundary points.
Description
This is an Accepted Manuscript of an article published by Taylor & Francis in Applicable Analysis on 22 May 2012, available at: https://doi.org/10.1080/00036811.2012.683787.
Keywords
Applied Mathematics, Pure Mathematics, Mathematical Sciences, Variational methods, Positive solutions, Nonlinear elliptic equations
Citation
S. Challal (2013) Continuity of the free boundary in a non-degenerate p- obstacle problem type with monotone solution, Applicable Analysis, 92:7, 1462-1473, DOI: 10.1080/00036811.2012.683787