Results 1 to 10 of about 286,959 (160)

Nehari manifold for degenerate logistic parabolic equations

Electronic Journal of Differential Equations
In 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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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 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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Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent [PDF]

Journal of Inequalities and Applications, 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.
Yanbin Sang, Siman Guo
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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. Sousa, N. Nyamoradi, M. Lamine
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Existence of Multiple Solutions for a -Kirchhoff Problem with Nonlinear Boundary Conditions [PDF]

The Scientific World Journal, 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 ...
Zonghu Xiu, Caisheng Chen
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Nehari manifold approach for fractional p(.)-Laplacian system involving concave-convex nonlinearities

Electronic Journal of Differential Equations, 2020
In this article, using Nehari manifold method we study the multiplicity of solutions of the nonlocal elliptic system involving variable exponents and concave-convex nonlinearities, $$\displaylines{ (-\Delta)_{p(\cdot)}^{s} u=\lambda a(x)| u|^{q(x)-2}u ...
R. Biswas, Sweta Tiwari
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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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Critical point localization and multiplicity results in Banach spaces via Nehari manifold technique

Nonlinear Differential Equations and Applications NoDEA
In 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-
Radu Precup, Andrei Stan
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