Electron. J. Diff. Eqns., Vol. 2004(2004), No. 118, pp. 1-7.

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

Vy Khoi Le, Klaus Schmitt

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.

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Vy Khoi Le
Department of Mathematics and Statistics
University of Missouri-Rolla
Rolla, MO 65401, USA
email: vy@umr.edu
Klaus Schmitt
Department of Mathematics
University of Utah
155 South 1400 East
Salt Lake City, UT 84112, USA
email: schmitt@math.utah.edu

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