6533b7cffe1ef96bd1258690

RESEARCH PRODUCT

A note on homoclinic solutions of (p,q)-Laplacian difference equations

Antonella NastasiCalogero Vetro

subject

Pure mathematicsAlgebra and Number TheoryDifference equationApplied MathematicsOperator (physics)010102 general mathematicshomoclinic solution01 natural sciences010101 applied mathematicsNonlinear system(pq)-Laplace operatorpositive solutionSettore MAT/05 - Analisi MatematicaBoundary value problemHomoclinic orbitPalais–Smale condition0101 mathematicsLaplace operatorAnalysisMathematics

description

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.

yearjournalcountryeditionlanguage
2019-02-01Journal of Difference Equations and Applications
https://doi.org/10.1080/10236198.2019.1572128