On Generalized and Viscosity Solutions of Nonlinear Elliptic Equations-Reference-Cited by-同舟云学术

On Generalized and Viscosity Solutions of Nonlinear Elliptic Equations

Published:2004-08-01 Issue:3 Volume:4 Page:289-306
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Hartenstine David¹,Schmitt Klaus¹

Affiliation:

1. Department of Mathematics, University of Utah, 155 South 1400 East, Salt Lake City, Utah 84112-0090

Abstract

Abstract There are many notions of solutions of nonlinear elliptic partial differential equations. This paper is concerned with solutions which are obtained as suprema (or infima) of so-called subfunctions (superfunctions) or viscosity subsolutions (viscosity supersolutions). The paper also explores the relationship of these (generalized) solutions of differential inequalities and provides a relevant example for which existence questions have been studied using these concepts.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2004-0304/pdf

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