Comparison Principle for Viscosity Solutions with High Growth at Infinity
Year: 1997
Journal of Partial Differential Equations, Vol. 10 (1997), Iss. 2 : pp. 107–122
Abstract
This paper is concerned with the comparison principle for viscosity solutions of the nonlinear elliptic equation F(Du, D²u} + |u|^{s-1}u =f in R^N, where f is uniformly continuous and F satisfies some conditions about p (p > 2}. We got the comparison principle for the viscosity solutions with some high growth at infinity, which relies on the relation between p and s.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1997-JPDE-5585
Journal of Partial Differential Equations, Vol. 10 (1997), Iss. 2 : pp. 107–122
Published online: 1997-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Comparison principle