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Comparison Principle for Viscosity Solutions with High Growth at Infinity |
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| Authors: | Yang Xiang |
| 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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