We study a p-Laplacian dierence equation on the set of integers, involving a coercive weight function and a reaction term satisfying the Ambrosetti-Rabinowitz condition. By means of critical point theory and a discrete maximum principle, we prove the existence of a positive homoclinic solution.

Positive homoclinic solutions for the discrete p-Laplacian with a coercive weight function

IANNIZZOTTO, ANTONIO;
2014

Abstract

We study a p-Laplacian dierence equation on the set of integers, involving a coercive weight function and a reaction term satisfying the Ambrosetti-Rabinowitz condition. By means of critical point theory and a discrete maximum principle, we prove the existence of a positive homoclinic solution.
Difference equations; variational methods
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11562/758764
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