A note on homoclinic solutions of (p, q)-Laplacian difference equations. Issue 3 (4th March 2019)

• Record Type: Journal Article
• Authors: Nastasi, Antonella; Vetro, Calogero
• Is Part Of: Journal of difference equations and applications. Volume 25:Issue 3(2019)
• Page Start: 331
• Page End: 341
• Publication Date: 2019-03-04
• Subjects: Difference equations -- (p, q)-Laplace operator -- homoclinic solution -- Palais–Smale condition -- positive solution; 34B18 -- 39A10 -- 39A12; Difference equations -- Periodicals; 515.625
• DOI: 10.1080/10236198.2019.1572128
• Languages: English
• ISSNs: 1023-6198

Abstract

Abstract : We prove the existence of at least two positive homoclinic solutions for a discrete boundary value problem of equations driven by the( p, q ) -Laplace operator. The properties of the nonlinearity ensure that the energy functional, corresponding to the problem, satisfies a mountain pass geometry and a Palais–Smale compactness condition.