Algebraic systems with Lipschitz perturbations

Molica Bisci, Giovanni (author), Repovš, Dušan (author)

By using variational methods, the existence of infinitely many solutions for a nonlinear algebraic system with a parameter is established in presence of a perturbed Lipschitz term. Our goal was achieved requiring an appropriate behavior of the nonlinear term ▫$f$▫, either at zero or at infinity, without symmetry conditions.

• Language: English
• Keywords: discrete nonlinear boundary value problems, infinitely many solutions, difference equations, critical points theory
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2015
• Number of pages: Str. 189-199
• Numbering: Vol. 1
• PID: 20.500.12556/RUL-111248
• UDC: 517.956
• ISSN on article: 2296-9020
• COBISS.SI-ID: 17460057
• Publication date in RUL: 26.09.2019

Record is a part of a journal

• Title: Journal of elliptic and parabolic equations
• Shortened title: J. elliptic parabol. equ.
• Publisher: Orthogonal Editions, c/o M. Chipot
• ISSN: 2296-9020
• COBISS.SI-ID: 17459801