The Nehari manifold method for discrete fractional p-Laplacian equations [PDF]
Advances in Difference Equations, 2020 The aim of this paper is to investigate the multiplicity of homoclinic solutions for a discrete fractional difference equation. First, we give a variational framework to a discrete fractional p-Laplacian equation.
Xuewei Ju, Hu Die, Mingqi Xiang
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The Nehari Manifold for p-Laplacian Equation with Dirichlet Boundary Condition
Nonlinear Analysis, 2007 The Nehari manifold for the equation −∆pu(x) = λu(x)|u(x)| p−2 + b(x)|u(x)| γ−2u(x) for x ∈ Ω together with Dirichlet boundary condition is investigated in the case where 0 < γ < p.
G. A. Afrouzi, S. Mahdavi, Z. Naghizadeh
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Fractional minimization problem on the Nehari manifold
Electronic Journal of Differential Equations, 2018 In the framework of fractional Sobolev space, using Nehari manifold and concentration compactness principle, we study a minimization problem in the whole space involving the fractional Laplacian.
Mei Yu, Meina Zhang, Xia Zhang
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Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent. [PDF]
J Inequal Appl, 2017 In this article, we study the existence and multiplicity of positive solutions for the quasi-linear elliptic problems involving critical Sobolev exponent and a Hardy term.
Sang Y, Guo S.
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Ground State Solutions for a Nonlocal System in Fractional Orlicz-Sobolev Spaces
International Journal of Differential Equations, 2022 We consider an elliptic system driven by the fractional a.-Laplacian operator, with Dirichlet boundary conditions type. By using the Nehari manifold approach, we get a nontrivial ground state solution on fractional Orlicz–Sobolev spaces.
Hamza El-Houari +2 more
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On the Nehari manifold for a logarithmic fractional Schrödinger equation with possibly vanishing potentials [PDF]
Mathematica Bohemica, 2022 We study a class of logarithmic fractional Schrödinger equations with possibly vanishing potentials. By using the fibrering maps and the Nehari manifold we obtain the existence of at least one nontrivial solution.
Cong Nhan Le, Xuan Truong Le
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Existence of multiple solutions for a p-Kirchhoff problem with nonlinear boundary conditions. [PDF]
ScientificWorldJournal, 2013 The paper considers the existence of multiple solutions of the singular nonlocal elliptic problem , , = , on , where , . By the variational method on the Nehari manifold, we prove that the problem has at least two positive solutions when some ...
Xiu Z, Chen C.
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On the existence of ground states of an equation of Schrödinger–Poisson–Slater type
Comptes Rendus. Mathématique, 2021 We study the existence of ground states of a Schrödinger–Poisson–Slater type equation with pure power nonlinearity. By carrying out the constrained minimization on a special manifold, which is a combination of the Pohozaev manifold and Nehari manifold ...
Lei, Chunyu, Lei, Yutian
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Mathematics, 2023 We investigate a class of fractional linearly coupled Choquard systems. For the subcritical case and all critical cases, we prove the existence, nonexistence and symmetry of positive ground state solutions of systems, by using the Nehari manifold method,
Huiqin Lu, Kexin Ouyang
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Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearities [PDF]
Bulletin of Mathematical Sciences, 2020 This paper is concerned with a fractional p-Laplacian system with both concave–convex nonlinearities. The existence and multiplicity results of positive solutions are obtained by variational methods and the Nehari manifold.
Hamed Alsulami +4 more
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