A Fibering Map Approach for a Laplacian System With Sign-Changing Weight Function

Mahboobeh Zakeri, Seyyed Sadegh Kazemipoor

Publication date: 2 January 2014

Abstract: We prove the existence of at least two positive solutions for the Laplacian system(E?)On a bounded region by using the Nehari manifold and the fibering maps associated with the Euler functional for the system.

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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