Positive homoclinic solutions for the discrete \(p\)-Laplacian with a coercive weight function.
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Publication:484297
zbMath1313.39004MaRDI QIDQ484297
Vicenţiu D. Rădulescu, Antonio Iannizzotto
Publication date: 6 January 2015
Published in: Differential and Integral Equations (Search for Journal in Brave)
Palais-Smale conditionpositive solutionsdifference equationmountain-pass theoremdiscrete \(p\)-Laplacian
Variational methods involving nonlinear operators (47J30) Additive difference equations (39A10) Growth, boundedness, comparison of solutions to difference equations (39A22)
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The Nehari manifold method for discrete fractional \(p\)-Laplacian equations ⋮ Multiplicity of solutions to discrete inclusions with the \(p(k)\)-Laplace type equations ⋮ On a new critical point theorem and some applications to discrete equations ⋮ On fractional discrete \(p\)-Laplacian equations via Clark's theorem ⋮ Critical and sup-critical initial energy finite time blowup phenomena for the fourth-order wave equations with nonlinear strain term ⋮ Homoclinic solutions for fractional discrete Laplacian equations ⋮ On local and nonlocal discrete \(p\)-Laplacian equations via Clark's theorem ⋮ Existence and multiplicity results for boundary value problems connected with the discrete \(p(\cdot)\)-Laplacian on weighted finite graphs ⋮ Study on a kind of fourth-order \(p\)-Laplacian Rayleigh equation with linear autonomous difference operator ⋮ On sequences of large homoclinic solutions for a difference equations on the integers ⋮ Homoclinic solutions for a differential inclusion system involving the \(p(t)\)-Laplacian ⋮ Nontrivial solutions of discrete nonlinear equations with variable exponent ⋮ Existence of homoclinic solutions for the discrete \(p(k)\)-Laplacian operator
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