Results 101 to 110 of about 348 (123)

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
AbstractWe 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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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, A.
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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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Nehari manifold and bifurcation for a ψ‐Hilfer fractional p‐Laplacian

Mathematical Methods in the Applied Sciences, 2021
In this paper, we discuss the bifurcation from infinity for nonlinear problem with a fractional p‐Laplacian in ψ‐fractional space , whose bifurcation is directly linked to the signal with 1 < q < p − 1.
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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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A borderline analysis of the Nehari manifold method for concave-convex system

Topological Methods in Nonlinear Analysis
The aim of this paper is to obtain an existence and multiplicity result for a strongly coupled concave-convex system for an {\it optimal} choice of involved real parameters via the Nehari manifold method. In the paper, we have obtained the parametric region which is optimal in the sense that the constraint minimization idea based on the Nehari ...
Vinayak Mani Tripathi, Kaye Silva, Pawan K. Mishra   +2 more
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The Nehari manifold for a semilinear elliptic equation involving a sublinear term

Calculus of Variations and Partial Differential Equations, 2004
The author discusses the problem of existence and multiplicity of non-negative solutions to the problem \[ \begin{cases} -\Delta u(x)=\lambda u(x)+b(x)| u(x)| ^{\gamma-2}u(x)& \text{for }u\in\Omega\\ u(x)=0& \text{for }x\in\partial\Omega,\end{cases}\eqno(1) \] where \(\Omega\subset \mathbb R^N\) is a smooth bounded domain, \(b:\Omega\to \mathbb R\) a ...
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Ground State Solutions for Kirchhoff Equations via Modified Nehari-Pankov Manifold

Journal of Partial Differential Equations
Summary: 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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