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.
Titolo: | Positive homoclinic solutions for the discrete p-Laplacian with a coercive weight function | |
Autori: | ||
Data di pubblicazione: | 2014 | |
Rivista: | ||
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. | |
Handle: | http://hdl.handle.net/11562/758764 | |
Appare nelle tipologie: | 01.01 Articolo in Rivista |
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