Results 91 to 100 of about 262,340 (175)

Multiple positive solutions to the fractional Kirchhoff problem with critical indefinite nonlinearities

Electronic Journal of Differential Equations, 2020
This article concerns the existence and multiplicity of positive solutions to the fractional Kirchhoff equation with critical indefinite nonlinearities by applying the Nehari manifold approach and fibering maps.
Jie Yang, Haibo Chen, Zhaosheng Feng
doaj  

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

Nonlocal problems at critical growth in contractible domains

, 2015
We prove the existence of a positive solution for nonlocal problems involving the fractional Laplacian and a critical growth power nonlinearity when the equation is set in a suitable contractible domain.Comment: 17 ...
Mosconi, Sunra, Shioji, Naoki, Squassina, Marco   +2 more
core   +1 more source

The Nehari manifold and the existence of multiple solutions for a singular quasilinear elliptic equation

Journal of Mathematical Analysis and Applications, 2012
AbstractIn this paper, we are concerned with the existence of multiple positive solutions for the singular quasilinear elliptic problem {−div(|x|−ap|∇u|p−2∇u)=λh(x)|u|m−2u+H(x)|u|n−2u,x∈Ω,u(x)=0,x∈∂Ω, where Ω⊂RN(N≥3) is a bounded domain with smooth boundary ∂Ω, 0∈Ω ...
Caisheng Chen, Jincheng Huang, Zonghu Xiu, Zonghu Xiu   +3 more
openaire   +2 more sources

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  

Positive solutions for weighted singularp-Laplace equations via Nehari manifolds [PDF]

Applicable Analysis, 2019
In this paper we study weighted singular $p$-Laplace equations involving a bounded weight function which can be discontinuous. Due to its discontinuity classical regularity results cannot be applied. Based on Nehari manifolds we prove the existence of at least two positive bounded solutions of such problems.
Nikolaos S. Papageorgiou, Patrick Winkert   +1 more
openaire   +3 more sources

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