Volume 10, Issue 2
Comparison Principle for Viscosity Solutions with High Growth at Infinity

Yang Xiang

J. Part. Diff. Eq., 10 (1997), pp. 107-122.

Published online: 1997-10

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  • 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.
  • Keywords

Comparison principle viscosity solution high growth at infinity

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@Article{JPDE-10-107, author = {}, title = {Comparison Principle for Viscosity Solutions with High Growth at Infinity}, journal = {Journal of Partial Differential Equations}, year = {1997}, volume = {10}, number = {2}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5585.html} }
TY - JOUR T1 - Comparison Principle for Viscosity Solutions with High Growth at Infinity JO - Journal of Partial Differential Equations VL - 2 SP - 107 EP - 122 PY - 1997 DA - 1997/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5585.html KW - Comparison principle KW - viscosity solution KW - high growth at infinity AB - 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.
Yang Xiang . (2019). Comparison Principle for Viscosity Solutions with High Growth at Infinity. Journal of Partial Differential Equations. 10 (2). 107-122. doi:
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