Results 91 to 100 of about 1,141 (123)

A note on coupled nonlinear Schrödinger systems under the effect of general nonlinearities [PDF]

arXiv, 2009
We prove the existence of non-trivial solutions to a system of coupled, nonlinear, Schroedinger equations with general nonlinearity.
arxiv  

Multiple solutions for the quasilinear Choquard equation with Berestycki-Lions-type nonlinearities

Advances in Nonlinear Analysis
In this article, we study the following quasilinear equation with nonlocal nonlinearity −Δu−κuΔ(u2)+λu=(∣x∣−μ*F(u))f(u),inRN,-\Delta u-\kappa u\Delta \left({u}^{2})+\lambda u=\left({| x| }^{-\mu }* F\left(u))f\left(u),\hspace{1em}\hspace{0.1em}\text{in ...
Jia Yue, Yang Xianyong
doaj   +1 more source

On Critical p-Laplacian Systems

Advanced Nonlinear Studies, 2017
We consider the critical p-Laplacian ...
Guo Zhenyu, Perera Kanishka, Zou Wenming
doaj   +1 more source

Closed trajectories on symmetric convex Hamiltonian energy surfaces [PDF]

arXiv, 2009
In this article, let $\Sigma\subset\R^{2n}$ be a compact convex Hamiltonian energy surface which is symmetric with respect to the origin. where $n\ge 2$. We prove that there exist at least two geometrically distinct symmetric closed trajectories of the Reeb vector field on $\Sg$.
arxiv  

Existence Results for Solutions to Nonlinear Dirac Systems on Compact Spin Manifolds

Advanced Nonlinear Studies, 2018
In this article, we study the existence of solutions for the Dirac ...
Yang Xu
doaj   +1 more source

On the symmetry of minimizers in constrained quasi-linear problems [PDF]

arXiv, 2010
We provide a simple proof of the radial symmetry of any nonnegative minimizer for a general class of quasi-linear minimization problems.
arxiv  

Homoclinics for strongly indefinite almost periodic second order Hamiltonian systems

Advances in Nonlinear Analysis, 2017
Under certain assumptions, we prove the existence of homoclinic solutions for almost periodic second order Hamiltonian systems in the strongly indefinite case.
Pankov Alexander
doaj   +1 more source

On Ekeland's variational principle [PDF]

arXiv, 2010
For proper lower semi-continuous functionals bounded below which do not increase upon polarization, an improved version of Ekeland's variational principle can be formulated in Banach spaces, which provides almost symmetric points.
arxiv  

The Multiplicity Problem for Periodic Orbits of Magnetic Flows on the 2-Sphere

Advanced Nonlinear Studies, 2017
We consider magnetic Tonelli Hamiltonian systems on the cotangent bundle of the 2-sphere, where the magnetic form is not necessarily exact. It is known that, on very low and on high energy levels, these systems may have only finitely many periodic orbits.
Abbondandolo Alberto, Asselle Luca, Benedetti Gabriele, Mazzucchelli Marco, Taimanov Iskander A.   +4 more
doaj   +1 more source

On the number of P-invariant closed characteristics on partially symmetric compact convex hypersurfaces in ${\bf R}^{2n}$

, 2014
In this paper, let $n\geq2$ be an integer, $P=diag(-I_{n-\kappa},I_\kappa,-I_{n-\kappa},I_\kappa)$ for some integer $\kappa\in[0, n)$, and $\Sigma \subset {\bf R}^{2n}$ be a partially symmetric compact convex hypersurface, i.e., $x\in \Sigma$ implies $Px\
Liu, Hui, Zhang, Duanzhi
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