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

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.

Keywords

• Sub and supersolutions
• periodic solutions
• variational approach.