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We prove the existence of at least two positive homoclinic solutions for a discrete boundary value problem of equations driven by the -Laplace operator. The properties of the nonlinearity ensure… Click to show full abstract
We prove the existence of at least two positive homoclinic solutions for a discrete boundary value problem of equations driven by the -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.
Keywords:
difference equations;
laplacian difference;
note homoclinic;
solutions laplacian;
homoclinic solutions
Journal Title: Journal of Difference Equations and Applications
Year Published: 2019
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Journal Title: Journal of Difference Equations and Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!