This paper contains Phragmèn-Lindelöf type results for viscosity solutions of fully nonlinear second-order uniformly elliptic equations with superlinear gradient term in a wide class of unbounded domains. Under suitable assumptions on the coefficients, as classically, we show that the Maximum Principle holds in a generalized version of cylindrical and conical domains, resp., for subsolutions with exponential and polynomial growth at infinity
Phragmèn-Lindelöf principles for nonlinear elliptic equations
ROSSI, LUCA;
2009
Abstract
This paper contains Phragmèn-Lindelöf type results for viscosity solutions of fully nonlinear second-order uniformly elliptic equations with superlinear gradient term in a wide class of unbounded domains. Under suitable assumptions on the coefficients, as classically, we show that the Maximum Principle holds in a generalized version of cylindrical and conical domains, resp., for subsolutions with exponential and polynomial growth at infinityFile in questo prodotto:
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