On certain nonlinear elliptic systems with indefinite terms

Abstract

We consider an elliptic quasi linear systems with indefinite term on a bounded domain. Under suitable conditions, existence and positivity results for solutions are given. Submitted April 2, 2002. Published October 2, 2002. Math Subject Classifications: 35J20, 35J25, 35J60, 35J65, 35J70. Key Words: Elliptic systems; p-Laplacian; variational methods; mountain-pass Lemma; Palais-Smale condition; potential function; Moser iterative method.

Keywords

• Elliptic systems
• p-Laplacian
• variational methods
• mountain-pass Lemma
• Palais-Smale condition
• potential function
• Moser iterative method.