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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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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A minimization problem with variable growth on Nehari manifold
Monatshefte für Mathematik, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ground State Solutions for Kirchhoff Equations via Modified Nehari-Pankov Manifold
Journal of Partial Differential EquationsSummary: We investigate the Kirchhoff type elliptic problem \[ \left(a+b\int_{\mathbb{R}^N} [|\nabla u|^2+V(x)u^2]\mathrm{d}x \right) [-\Delta u+V(x)u]=f(x,u), \quad x\in \mathbb{R}^N, \] where both \(V\) and \(f\) are periodic in \(x\), \(0\) belongs to a spectral gap of \(- \Delta +V\).
Tang, Biyun, Lan, Yongyi
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Transversality of stable and Nehari manifolds for a semilinear heat equation
Calculus of Variations and Partial Differential Equations, 2011Let \(\Omega\) be a smooth bounded domain in \({\mathbb R}^n\) and \(p>1\); \(p2\). Consider the semilinear heat equation \(u_t-\Delta u=|u|^{p-1}u\) for \(x\in\Omega\), \(t>0\), complemented by the boundary conditions \(u=0\) for \(x\in\partial\Omega\), \(t>0\), and the initial condition \(u(x,0)=u_0(x)\) for \(x\in\Omega\), where \(u_0\in H^1_0 ...
Dickstein, Flavio +3 more
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Existence Results for Fractional p(x, .)-Laplacian Problem Via the Nehari Manifold Approach
Applied Mathematics & Optimization, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Azroul, E. +3 more
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The Nehari Manifold and its Application to a Fractional Boundary Value Problem
Differential Equations and Dynamical Systems, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a minimization problem involving fractional Sobolev spaces on Nehari manifold
Afrika Matematika, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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