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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Nehari manifold for degenerate logistic parabolic equations
Electronic Journal of Differential EquationsIn this article we analyze the behavior of solutions to a degenerate logistic equation with a nonlinear term $b(x)f(u)$ where the weight function $b$ is non-positive.
Juliana Fernandes, Liliane Maia
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Nehari manifold approach for superlinear double phase problems with variable exponents [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2022 In this paper we consider quasilinear elliptic equations driven by the variable exponent double phase operator with superlinear right-hand sides. Under very general assumptions on the nonlinearity, we prove a multiplicity result for such problems whereby
Ángel Crespo‐Blanco, Patrick Winkert
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Nehari manifold and fractional Dirichlet boundary value problem
Analysis and Mathematical Physics, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Vanterler da C. Sousa +2 more
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Critical Point Localization and Multiplicity Results in Banach Spaces Via Nehari Manifold Technique
Nonlinear Differential Equations and Applications NoDEAIn the paper, results on the existence of critical points in annular subsets of a cone are obtained with the additional goal of obtaining multiplicity results. Compared to other approaches in the literature based on the use of Krasnoselskii’s compression-
Andrei Stan, Radu Precup
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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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Existence of solutions for singular double phase problems via the Nehari manifold method [PDF]
Analysis and Mathematical Physics, 2022 In this paper we study quasilinear elliptic equations driven by the double phase operator and a right-hand side which has the combined effect of a singular and of a parametric term.
Wulong Liu +3 more
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Nehari manifold method for singular double phase problem with optimal control on parameter [PDF]
Journal of Mathematics and Physics, 2023 In this paper, we consider the following singular double phase problem −div(|∇u|p−2∇u + a(x)|∇u|q−2∇u) = λf(x)u−γ + g(x)ur−1, u > 0 in Ω and u = 0 on ∂Ω, where Ω⊂RN is an open bounded domain with smooth boundary, dimension N ≥ 2, exponents p < q < r < p*
Alessio Fiscella +2 more
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Existence and multiplicity for fractional Dirichlet problem with γ(ξ)-Laplacian equation and Nehari manifold [PDF]
Applicable Analysis and Discrete Mathematics, 2023 This paper is divided in two parts. In the first part, we prove coercivity results and minimization of the Euler energy functional. In the second part, we focus on the existence and multiplicity of a positive solution of fractional Dirichlet problem ...
Chaojiu Da +2 more
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