THE NEHARI MANIFOLD FOR A ψ-HILFER FRACTIONAL p-LAPLACIAN
, 2020 J. Vanterler da C. Sousa +2 more
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Nehari Manifold for Weighted Singular Fractional p-Laplace Equations
Bulletin of the Brazilian Mathematical Society, New Series, 2022In this paper, the authors consider weighted singular fractional \(p\)-Laplacian problems involving a bounded weight function. Firstly, some auxiliary results about the \(\psi\)-Riemann-Liouville fractional integral and \(\psi\)-Hilfer fractional derivatives are given.
Vanterler da C. Sousa, J. +3 more
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Solutions of the mean curvature equation with the Nehari manifold
Computational and Applied Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Vanterler da C. Sousa +2 more
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The Nehari manifold for double‐phase problems with convex and concave nonlinearities
Mathematische Nachrichten, 2023AbstractThe aim of this paper is to establish the multiplicity of solutions for double‐phase problem. Employing the Nehari manifold approach, we show that the problem has at least two nontrivial solutions.
Cao, Qing-Hai, Ge, Bin, Zhang, Yu-Ting
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Infinite Sharp Conditions by Nehari Manifolds for Nonlinear Schrödinger Equations
The Journal of Geometric Analysis, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lian, Wei +3 more
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Nehari manifold and fibering map approach for fractional p(.)-Laplacian Schrödinger system
SeMA Journal, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El-Houari, Hamza +2 more
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Ground state and multiple solutions via generalized Nehari manifold
Nonlinear Analysis: Theory, Methods & Applications, 2014In this paper, the authors study a class of superlinear elliptic equations \[ -\Delta u+V(x)u=f(x,u),\;u\in H^{1}_{0}(\Omega) \] where \(\Omega\subset\mathbb R^{N}\) is a periodic domain, i.e. there exist a partition \((Q_{m})_{m\geq 1}\) of \(\Omega\) and a sequence of points \((y_{m})_{m\geq 1}\subset\mathbb R^{N}\) such that (i) \((y_{m})_{m\geq 1}\)
Zhong, Xuexiu, Zou, W.
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NON-NEHARI-MANIFOLD METHOD FOR ASYMPTOTICALLY LINEAR SCHRÖDINGER EQUATION
Journal of the Australian Mathematical Society, 2014AbstractWe consider the semilinear Schrödinger equation$$\begin{eqnarray}\left\{\begin{array}{@{}l@{}}-\triangle u+V(x)u=f(x,u),\quad x\in \mathbb{R}^{N},\\ u\in H^{1}(\mathbb{R}^{N}),\end{array}\right.\end{eqnarray}$$where$f(x,u)$is asymptotically linear with respect to$u$,$V(x)$is 1-periodic in each of$x_{1},x_{2},\dots ,x_{N}$and$\sup [{\it\sigma}(-\
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The Nehari manifold for nonlocal elliptic operators involving concave–convex nonlinearities
Zeitschrift für angewandte Mathematik und Physik, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Wenjing, Deng, Shengbing
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Least energy solutions for indefinite biharmonic problems via modified Nehari–Pankov manifold
Communications in Contemporary Mathematics, 2018In this paper, by using a modified Nehari–Pankov manifold, we prove the existence and the asymptotic behavior of least energy solutions for the following indefinite biharmonic equation: [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text] is a parameter, [Formula: see text] is a nonnegative potential function with ...
Niu, Miaomiao +2 more
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