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Title

AN EXISTENCE RESULT ON POSITIVE SOLUTIONS OF P-LAPLACIAN SYSTEMS WITH SIGN-CHANGING WEIGHT FUNCTIONS

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Abstract

 IN THIS PAPER, WE STUDY THE MULTIPLICITY EXISTENCE OF POSITIVE SOLUTIONS FOR THE P-LAPLACIAN SYSTEMS WITH SIGN-CHANGING WEIGHT FUNCTIONS. USING THE DECOMPOSITION OF THE NEHARI MANIFOLD, WE PROVE THAT AN ELLIPTIC SYSTEM HAS AT LEAST TWO POSITIVE SOLUTIONS.

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