Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 118, pp. 1-7.

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

Authors: Vy Khoi Le (Univ. of Missouri-Rolla, Rolla, MO, USA)
         Klaus Schmitt (Univ. of Utah, Salt Lake City, UT, USA)

Abstract: 
 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.
 
Submitted July 28, 2004. Published October 7, 2004.
Math Subject Classifications: 35B45, 35J65, 35J60.
Key Words: Sub and supersolutions; periodic solutions; 
           variational approach.