Results 1 to 10 of about 345 (120)

On the Nehari manifold for a logarithmic fractional Schrödinger equation with possibly vanishing potentials [PDF]

Mathematica Bohemica, 2022
We study a class of logarithmic fractional Schrödinger equations with possibly vanishing potentials. By using the fibrering maps and the Nehari manifold we obtain the existence of at least one nontrivial solution.
Cong Nhan Le, Xuan Truong Le
doaj   +3 more sources

Critical Fractional p-Laplacian System with Negative Exponents

Journal of Function Spaces, 2023
In this paper, we consider a class of fractional p-Laplacian problems with critical and negative exponents. By decomposition of the Nehari manifold, the existence and multiplicity of nontrivial solutions for the above problems are established with ...
Qinghao Zhu, Jianming Qi
doaj   +2 more sources

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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Multiple Solutions for Singular Systems with Sign-Changing Weight, Nonlinear Singularities and Critical Exponent

International Journal of Differential Equations
This paper is an attempt to establish the existence and multiplicity results of nontrivial solutions to singular systems with sign-changing weight, nonlinear singularities, and critical exponent.
Mohammed El Mokhtar Ould El Mokhtar, Saleh Fahad Aljurbua   +1 more
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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
doaj   +3 more sources

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
doaj   +2 more sources

The Nehari manifold for fractional systems involving critical nonlinearities

Communications on Pure and Applied Analysis, 2016
To appear in Commun.
Xiaoming He, Zou Wenming, Marco Squassina   +2 more
exaly   +6 more sources

The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function

Journal of Differential Equations, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brown, K.J., Zhang, Yanping
exaly   +3 more sources

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
doaj   +2 more sources

The Nehari manifold for a semilinear elliptic problem with the nonlinear boundary condition

Journal of Mathematical Analysis and Applications, 2013
Abstract Using the Nehari manifold and fibering maps, we prove the existence theorem of the nonlinear boundary problem − Δ u + u = | u | p − 2 u for x ∈ Ω ; ∂ u ∂ n = λ | u | q − 2 u for x ∈ ∂ Ω on a bounded domain Ω ⊆ R N .
Xiaochun Liu, Jinguo Zhang
exaly   +2 more sources