Results 11 to 20 of about 740 (152)

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
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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
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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
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Gluing approximate solutions of minimum type on the Nehari manifold

Electronic Journal of Differential Equations, 2001
In the last decade or so, variational gluing methods have been widely used to construct homoclinic and heteroclinic type solutions of nonlinear elliptic equations and Hamiltonian systems.
Yanyan Li, Zhi-Qiang Wang
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Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent [PDF]

Journal of Inequalities and Applications, 2017
In this article, we study the existence and multiplicity of positive solutions for the quasi-linear elliptic problems involving critical Sobolev exponent and a Hardy term.
Yanbin Sang, Siman Guo
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The Nehari manifold for systems of nonlinear elliptic equations [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adriouch, K., El Hamidi, A.
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Existence of Multiple Solutions for a -Kirchhoff Problem with Nonlinear Boundary Conditions [PDF]

The Scientific World Journal, 2013
The paper considers the existence of multiple solutions of the singular nonlocal elliptic problem , ,   = , on , where , . By the variational method on the Nehari manifold, we prove that the problem has at least two positive solutions when some ...
Zonghu Xiu, Caisheng Chen
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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
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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 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 ...
Brown, K. J.
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