论文信息 - On strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations

On strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations

The strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations are considered. For linear elliptic equations it is well known that the strong comparison principle is equivalent to the strong maximum principle. However, for nonlinear equations the strong maximum principle may not imply the strong comparison principle. We establish a strong comparison principle for some nonlinaer elliptic equations including the minimal surface equation.

Y. Giga | M. Ohnuma

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