We study a p-Laplacian difference 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;
2014-01-01

Abstract

We study a p-Laplacian difference 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.
2014
Discrete p-Laplacian, Critical point theory, Multiple solutions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/52254
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