Differential and Integral Equations
- Differential Integral Equations
- Volume 27, Number 1/2 (2014), 35-44.
Positive homoclinic solutions for the discrete $p$-Laplacian with a coercive weight function
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.
Differential Integral Equations, Volume 27, Number 1/2 (2014), 35-44.
First available in Project Euclid: 12 November 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Iannizzotto, Antonio; Rădulescu, Vicenţiu D. Positive homoclinic solutions for the discrete $p$-Laplacian with a coercive weight function. Differential Integral Equations 27 (2014), no. 1/2, 35--44. https://projecteuclid.org/euclid.die/1384282852