Positive radial solutions for a quasilinear system

Abstract

In this article, general existence theorems are presented for a quasilinear system

We obtain some existence theorems by a simple application of the Schauder fixed-point theorem and degree theory. We do not require conditions of the nonlinearity f, g at zero or at infinity, and we do not need upper bounds for p, q involving the dimension n. We study the case where problem (P) is not of variational type.

Keywords:

• Positive radial solutions
• A quasilinear system
• Schauder fixed-point theorem

Keywords:

• AMS Classifications: 34B15
• 35J20

Acknowledgement

The research is supported by NNSF of China (10301033).