Volume no :2, Issue no: 1, February 2009

Journal of Mathematical Sciences: Advances and Applications

PHRAGMÈN-LINDELÖF PRINCIPLES FOR NONLINEAR ELLIPTIC EQUATIONS

Author's: M. E. Amendola, l. Rossi and A. Vitolo
Pages: [43] - [63]
Received Date: September 29, 2008
Submitted by:

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 infinity.

Keywords

elliptic equations, viscosity solutions, ABP estimates, Phragmèn-Lindelöf principles.