On certain nonlinear elliptic systems with indefinite terms

On certain nonlinear elliptic systems with indefinite terms

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We consider an elliptic Cross Bar 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: Face Wrap Elliptic systems; p-Laplacian; variational methods; mountain-pass Lemma; Palais-Smale condition; potential function; Moser iterative method.