Maximum principle and existence of <Emphasis Type="Italic">L</Emphasis><Superscript><Emphasis Type="Italic">p</Emphasis></Superscript>-viscosity solutions for fully nonlinear uniformly elliptic equations with measurable and quadratic terms期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Maximum principle and existence of Lp-viscosity solutions for fully nonlinear uniformly elliptic equations with measurable and quadratic terms

Authors:	Shigeaki?Koike mailto:skoike@rimath.saitama-u.ac.jp" title=" skoike@rimath.saitama-u.ac.jp" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Andrzej??wich

Affiliation:	(1) Department of Mathematics, Saitama University, Saitama 338-8570, Japan;(2) School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA

Abstract:	We study L^p-viscosity solutions of fully nonlinear, second-order, uniformly elliptic partial differential equations (PDE) with measurable terms and quadratic nonlinearity. We present a sufficient condition under which the maximum principle holds for L^p-viscosity solution. We also prove stability and existence results for the equations under consideration.

Keywords:	49L25 35J60 35D10
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