In this paper we study the monotonicity of positive (or non-negative) viscosity solutions to uniformly elliptic equations F(del u, D(2)u) = f(u) in the half plane, where f is locally Lipschitz continuous (with f(0) >= 0) and zero Dirichlet boundary conditions are imposed. The result is obtained without assuming the u or vertical bar del u vertical bar are bounded. (C) 2011 Elsevier Inc. All rights reserved.

Monotonicity of solutions of Fully nonlinear uniformly elliptic equations in the half-plane

MONTORO, LUIGI;SCIUNZI, Berardino
2011

Abstract

In this paper we study the monotonicity of positive (or non-negative) viscosity solutions to uniformly elliptic equations F(del u, D(2)u) = f(u) in the half plane, where f is locally Lipschitz continuous (with f(0) >= 0) and zero Dirichlet boundary conditions are imposed. The result is obtained without assuming the u or vertical bar del u vertical bar are bounded. (C) 2011 Elsevier Inc. All rights reserved.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/132674
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