Results 101 to 110 of about 262,340 (175)

On the Existence of Ground State Solutions of the Periodic Discrete Coupled Nonlinear Schrödinger Lattice

Journal of Applied Mathematics, 2013
We study the existence of ground state solutions of the periodic discrete coupled nonlinear Schrödinger lattice by using the Nehari manifold approach combined with periodic approximations. We show that both of the components of the ground state solutions
Meihua Huang, Zhan Zhou
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Multiplicity of positive solutions for a Navier boundary-value problem involving the p-biharmonic with critical exponent

Electronic Journal of Differential Equations, 2011
By using the Nehari manifold and variational methods, we prove that a p-biharmonic system has at least two positive solutions when the pair the parameters satisfy certain inequality.
Ying Shen, Jihui Zhang
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On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations

Abstract and Applied Analysis, 2013
The purpose of this paper is to study a class of discrete nonlinear Schrödinger equations. Under a weak superlinearity condition at infinity instead of the classical Ambrosetti-Rabinowitz condition, the existence of standing waves of the equations is ...
Guowei Sun
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Multiple positive solutions for Kirchhoff problems with sign-changing potential

Electronic Journal of Differential Equations, 2015
In this article, we study the existence and multiplicity of positive solutions for a class of Kirchhoff type equations with sign-changing potential. Using the Nehari manifold, we obtain two positive solutions.
Gao-Sheng Liu, Chun-Yu Lei, Liu-Tao Guo, Hong Rong   +3 more
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Non-Nehari manifold method for a class of generalized quasilinear Schrödinger equations

Applied Mathematics Letters, 2017
Abstract In this paper, we study the following generalized quasilinear Schrodinger equation − d i v ( g 2 ( u ) ∇ u ) + g ( u ) g ′ ( u ) | ∇ u | 2 + V ( x ) u = f ( x , u ) , x ∈ R N , where N ≥ 3 , 2 ∗ = 2 N N − 2 , g ∈
Jianhua Chen, Xianhua Tang, Bitao Cheng
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The Nehari manifold for a fractional Laplacian equation involving critical nonlinearities

Communications on Pure & Applied Analysis, 2018
We study the combined effect of concave and convex nonlinearities on the numbers of positive solutions for a fractional equation involving critical Sobolev exponents. In this paper, we concerned with the following fractional equation \begin{document}$ \left\{ \begin{array}{l}{\left( { - \Delta } \right)^s}u = \lambda f\left( x ...
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The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions

Journal of Differential Equations, 2011
AbstractThis paper examines a class of Kirchhoff type equations that involve sign-changing weight functions. Using Nehari manifold and fibering map, the existence of multiple positive solutions is established.
Ching-yu Chen, Tsung-fang Wu, Yueh-Cheng Kuo   +2 more
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Correction To: Existence Results for Fractional p(x, .)-Laplacian Problem Via the Nehari Manifold Approach [PDF]

, 2020
Elhoussine Azroul, Abdelmoujib Benkirane, Athmane Boumazourh, Mohammed Shimi   +3 more
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Homoclinic Solutions for a Class of Nonlinear Difference Equations

Journal of Applied Mathematics, 2014
We prove the existence of homoclinic solutions of a class of nonlinear difference equations with superlinear nonlinearity by using the generalized Nehari manifold approach.
Ali Mai, Zhan Zhou
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Singular elliptic systems involving concave terms and critical Caffarelli-Kohn-Nirenberg exponents

Electronic Journal of Differential Equations, 2012
In this article, we establish the existence of at least four solutions to a singular system with a concave term, a critical Caffarelli-Kohn-Nirenberg exponent, and sign-changing weight functions. Our main tools are the Nehari manifold and the mountain
Mohammed E. O. El Mokhtar
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