A unified approach to monotone iterative technique for quasilinear elliptic problems

Abstract

A unified approach Tor the miinatone Itera!ive technique is discussed relative to quasilinear elliptic boundary value problems when the nonlinear term involved admits a splitting of the difference of two monotone functions. This setting includes several results in one framework and is applicable to a variety of nonlinear problems.

Keywords:

• Quasilinear elliptic problems
• Monotone iterative technique
• Coupled weak lower and upper solutions

1991 Subject Classification:

• 35K55
• 35K60

Additional information

Notes on contributors

S. Köksal