Results 51 to 60 of about 2,242 (124)

New Results for p‐Laplacian Fractional Instantaneous and Noninstantaneous Impulsive Differential Equations

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
The p‐Laplacian fractional differential equations have been studied extensively because of their numerous applications in science and engineering. In this study, a class of p‐Laplacian fractional differential equations with instantaneous and noninstantaneous impulses is considered.
Wangjin Yao, Huiping Zhang, Shrideh K. Q. Al-Omari   +2 more
wiley   +1 more source

Ground states for Schrodinger-Poisson systems with three growth terms

Electronic Journal of Differential Equations, 2014
In this article we study the existence and nonexistence of ground states of the Schrodinger-Poisson system $$\displaylines{ -\Delta u+V(x)u+K(x)\phi u=Q(x)u^3,\quad x\in \mathbb{R}^3,\cr -\Delta\phi=K(x)u^2, \quad x\in \mathbb{R}^3, }$$ where V ...
Hui Zhang, Fubao Zhang, Junxiang Xu
doaj  

Some generalizations of Calabi compactness theorem [PDF]

, 2011
In this paper we obtain generalized Calabi-type compactness criteria for complete Riemannian manifolds that allow the presence of negative amounts of Ricci curvature.
Bianchini, Bruno, Mari, Luciano, Rigoli, Marco   +2 more
core   +1 more source

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  

The Nehari manifold method for discrete fractional p-Laplacian equations

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
doaj   +1 more source

Ground state solutions for asymptotically periodic Schrodinger equations with critical growth

Electronic Journal of Differential Equations, 2013
Using the Nehari manifold and the concentration compactness principle, we study the existence of ground state solutions for asymptotically periodic Schrodinger equations with critical growth.
Hui Zhang, Junxiang Xu, Fubao Zhang
doaj  

Periodic solutions for second-order even and noneven Hamiltonian systems

Boundary Value Problems
In this paper, we consider the second-order Hamiltonian system x ¨ + V ′ ( x ) = 0 , x ∈ R N . $$ \ddot{x}+V^{\prime}(x)=0,\quad x\in \mathbb{R}^{N}. $$ We use the monotonicity assumption introduced by Bartsch and Mederski (Arch. Ration. Mech. Anal.
Juan Xiao, Xueting Chen
doaj   +1 more source

The Nehari manifold for aψ-Hilfer fractionalp-Laplacian

, 2021
J. Vanterler da C. Sousa, Jiabin Zuo, Donal O’Regan   +2 more
openalex   +3 more sources

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
doaj   +1 more source

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
doaj