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The Nehari Manifold and its Application to a Fractional Boundary Value Problem

Differential Equations and Dynamical Systems, 2013
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NON-NEHARI-MANIFOLD METHOD FOR ASYMPTOTICALLY LINEAR SCHRÖDINGER EQUATION

Journal of the Australian Mathematical Society, 2014
Abstract We consider the semilinear Schrödinger equation $$\begin{eqnarray}\left\{\begin{array}{@{}l@{}}-\triangle u+V(x)u=f(x,u),\quad x\in \mathbb{R}^{N},\\ u\in H^{1}(\mathbb{R}^{N}),\end{array}\right.\end{eqnarray}$$
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Nehari manifold and existence of positive solutions to a class of quasilinear problems

Nonlinear Analysis: Theory, Methods & Applications, 2005
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Alves, C.O., El Hamidi, Abdallah
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The Nehari manifold for the Schrödinger–Poisson systems with steep well potential

Complex Variables and Elliptic Equations, 2018
In this paper, via variational methods, we consider the existence and concentration of positive solutions for a system of Schrodinger–Poisson equation involving concave–convex nonlinearities under ...
Qing-Jun Lou, Zhi-Qing Han
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The Nehari manifold for a fractional p-Laplacian system involving concave–convex nonlinearities

Nonlinear Analysis: Real World Applications, 2016
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Chen, Wenjing, Deng, Shengbing
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The Nehari Manifold Approach for a p(x)-Laplacian Problem with Nonlinear Boundary Conditions

Ukrainian Mathematical Journal, 2017
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Rasouli, S. H., Fallah, K.
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Nehari manifold

2020
A Akhavan, H Rahimi
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Ground State Solutions for Kirchhoff Equations via Modified Nehari-Pankov Manifold

Journal of Partial Differential Equations
We investigate the Kirchhoff type elliptic problem $$\Bigg(a+b\int_{\mathbb{R}^N}[|\nabla u|^2+V(x)u^2]dx\Bigg)[-\Delta u+V(x)u]=f(x,u), \ \ \ x\in \mathbb{R}^N,$$where both $V$ and $f$ are periodic in $x,$ 0 belongs to a spectral gap of $−∆+V.$ Under suitable assumptions on $V$ and $f$ with more general conditions, we prove the existence of ground ...
Tang, Biyun, Lan, Yongyi
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The Nehari Manifold for a ψ-Hilfer Fractional p-Laplacian

Applicable Analysis, 2022
Donal O'Regan   +2 more
exaly  

The Nehari manifold approach for Fractional a (.)-Laplacian problem: the Nehari manifold approach

Complex Variables and Elliptic Equations
Mohammed Srati   +2 more
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