Sub-supersolution theorems for quasilinear elliptic problems: A variational approach

This paper presents a variational approach to obtain sub - supersolution theorems for a certain type of boundary value problem for a class of quasilinear elliptic partial differential equations. In the case of semilinear ordinary differential equations results of this type were first proved by Hans...

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Bibliographic Details
Main Authors: Vy Khoi Le, Klaus Schmitt
Format: Article
Language:English
Published: Texas State University 2004-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/118/abstr.html
Description
Summary:This paper presents a variational approach to obtain sub - supersolution theorems for a certain type of boundary value problem for a class of quasilinear elliptic partial differential equations. In the case of semilinear ordinary differential equations results of this type were first proved by Hans Knobloch in the early sixties using methods developed by Cesari.
ISSN:1072-6691