Results 51 to 60 of about 3,811 (89)

Periodic and Antiperiodic Solutions for a Second‐Order Hamiltonian System With Nonlinearity Depending on Derivative

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
Some existence results of periodic solution are obtained for a class of second‐order Hamiltonian systems with nonlinearity depending on derivative. We prove that there exists T0 > 0 such that, for any T < T0, the provided Hamiltonian system has a nontrivial T‐periodic and T/2‐antiperiodic solution via linking theorem and iteration method.
Wenxiong Chen, Shibo Liu, Wilfredo Urbina   +2 more
wiley   +1 more source

Multiplicity of ground state solutions for discrete nonlinear Schrodinger equations with unbounded potentials

Electronic Journal of Differential Equations, 2017
The discrete nonlinear Schrodinger equation is a nonlinear lattice system that appears in many areas of physics such as nonlinear optics, biomolecular chains and Bose-Einstein condensates.
Xia Liu, Tao Zhou, Haiping Shi
doaj  

Mountain pass solutions for the fractional Berestycki-Lions problem

, 2017
We investigate the existence of least energy solutions and infinitely many solutions for the following nonlinear fractional equation (-\Delta)^{s} u = g(u) \mbox{ in } \mathbb{R}^{N}, where $s\in (0,1)$, $N\geq 2$, $(-\Delta)^{s}$ is the fractional ...
Ambrosio, Vincenzo
core  

Existence results for a superlinear singular equation of Caffarelli-Kohn-Nirenberg type [PDF]

, 2003
In this paper, using Mountain Pass Lemma and Linking Argument, we prove the existence of nontrivial weak solutions for the Dirichlet problem for the superlinear equation of Caffarelli-Kohn-Nirenberg type in the case where the parameter $\lambda\in (0 ...
Xuan, Benjin
core   +4 more sources

Existence of infinitely many solutions for degenerate Kirchhoff-type Schrodinger-Choquard equations

Electronic Journal of Differential Equations, 2017
In this article we study a class of Kirchhoff-type Schrodinger-Choquard equations involving the fractional p-Laplacian. By means of Kajikiya's new version of the symmetric mountain pass lemma, we obtain the existence of infinitely many solutions ...
Sihua Liang, Vicentiu D. Radulescu
doaj  

Existence of infinitely many small solutions for sublinear fractional Kirchhoff-Schrodinger-Poisson systems

Electronic Journal of Differential Equations, 2019
We study the Kirchhoff-Schrodinger-Poisson system $$\displaylines{ m([u]_{\alpha}^2)(-\Delta)^\alpha u+V(x)u+k(x)\phi u = f(x,u), \quad x\in\mathbb{R}^3,\cr (-\Delta)^\beta \phi = k(x)u^2, \quad x\in\mathbb{R}^3, }$$ where $[\cdot]_{\alpha ...
Jose Carlos de Albuquerque, Rodrigo Clemente, Diego Ferraz   +2 more
doaj  

Fast homoclinic solutions for damped vibration problems under local conditions

Journal of Inequalities and Applications
In this paper, we study the fast homoclinic solutions for the following damped vibration problems u ¨ ( t ) + q ( t ) u ˙ ( t ) − L ( t ) u ( t ) + ∇ W ( t , u ( t ) ) = 0 $\ddot{u}(t)+q(t)\dot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0$ , ∀ t ∈ R $\forall t \in \
Wen-Kai Li, Xin Xu, Chun-Ping Huang, Li-Li Wan   +3 more
doaj   +1 more source

Performance-guaranteed distributed control for multiple plant protection UAVs with collision avoidance and a directed topology. [PDF]

Front Plant Sci, 2022
Huang H, Mei H, Yan T, Wang B, Xu F, Zhou D.   +5 more
europepmc   +1 more source

Some continuation properties via minimax arguments

, 2011
This note is devotes to some remarks regarding the use of variational methods, of minimax type, to establish continuity type ...
Jeanjean, Louis
core   +3 more sources

Infinitely many solutions for Schrodinger-Kirchhoff type equations involving the fractional p-Laplacian and critical exponent

Electronic Journal of Differential Equations, 2016
In this article, we show the existence of infinitely many solutions for the fractional p-Laplacian equations of Schrodinger-Kirchhoff type equation $$ M([u]_{s, p}^p) (-\Delta )_p^s u+V(x)|u|^{p-2}u= \alpha |u|^{ p_s^{*}-2 }u+\beta k(x)|u|^{q-2}u ...
Li Wang, Binlin Zhang
doaj