Search results for "Palais–Smale condition"

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

2019

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.

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 operatorAnalysisMathematicsJournal of Difference Equations and Applications
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