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.
Nastasi A., & Vetro C. (2019). A note on homoclinic solutions of (p,q)-Laplacian difference equations. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 25(3), 331-341 [10.1080/10236198.2019.1572128].
A note on homoclinic solutions of (p,q)-Laplacian difference equations
Nastasi A.;Vetro C.
2019
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.
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