On Generalized and Viscosity Solutions of Nonlinear Elliptic Equations
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.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
On Generalized and Viscosity Solutions of Nonlinear Elliptic Equations ; volume:4 ; number:3 ; year:2004 ; pages:289-306 ; extent:18
Advanced nonlinear studies ; 4, Heft 3 (2004), 289-306 (gesamt 18)
- Creator
-
Hartenstine, David
Schmitt, Klaus
- DOI
-
10.1515/ans-2004-0304
- URN
-
urn:nbn:de:101:1-2405021622372.992199196468
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
14.08.2025, 10:46 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Hartenstine, David
- Schmitt, Klaus
Other Objects (12)
Homogenization and Vanishing Viscosity in Fully Nonlinear Elliptic Equations: Rate of Convergence Estimates
Viscosity method for random homogenization of fully nonlinear elliptic equations with highly oscillating obstacles
A study on gradient blow up for viscosity solutions of fully nonlinear, uniformly elliptic equations
Convex analysis and nonlinear geometric elliptic equations
Non-linear elliptic equations in conformal geometry
Nonlinear second order elliptic equations involving measures
The cauchy problem for nonlinear elliptic equations
Nonlinear Elliptic Equations in Strip-Like Domains
Morse index of solutions of nonlinear elliptic equations
Singular solutions of nonlinear elliptic and parabolic equations
Introduction to the theory of nonlinear elliptic equations
Positive solutions for nonlinear singular superlinear elliptic equations
Homogenization and Vanishing Viscosity in Fully Nonlinear Elliptic Equations: Rate of Convergence Estimates
Viscosity method for random homogenization of fully nonlinear elliptic equations with highly oscillating obstacles
A study on gradient blow up for viscosity solutions of fully nonlinear, uniformly elliptic equations
Convex analysis and nonlinear geometric elliptic equations
Non-linear elliptic equations in conformal geometry
Nonlinear second order elliptic equations involving measures
The cauchy problem for nonlinear elliptic equations
Nonlinear Elliptic Equations in Strip-Like Domains
Morse index of solutions of nonlinear elliptic equations
Singular solutions of nonlinear elliptic and parabolic equations
Introduction to the theory of nonlinear elliptic equations
Positive solutions for nonlinear singular superlinear elliptic equations
Homogenization and Vanishing Viscosity in Fully Nonlinear Elliptic Equations: Rate of Convergence Estimates
Viscosity method for random homogenization of fully nonlinear elliptic equations with highly oscillating obstacles
A study on gradient blow up for viscosity solutions of fully nonlinear, uniformly elliptic equations
Convex analysis and nonlinear geometric elliptic equations
Non-linear elliptic equations in conformal geometry
Nonlinear second order elliptic equations involving measures
The cauchy problem for nonlinear elliptic equations
Nonlinear Elliptic Equations in Strip-Like Domains
Morse index of solutions of nonlinear elliptic equations
Singular solutions of nonlinear elliptic and parabolic equations
Introduction to the theory of nonlinear elliptic equations