Results 71 to 80 of about 686 (101)

Solvability of a second-order Hamiltonian system with impulsive effects

open access: yes, 2013
In this paper, a class of second-order Hamiltonian systems with impulsive effects are considered. By using critical point theory, we obtain some existence theorems of solutions for the nonlinear impulsive problem.
B. Dai, Jia Guo
semanticscholar   +1 more source

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

open access: yesAdvanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia   +2 more
doaj   +1 more source

A note on a global invertibility of mappings on $R^{n}$

open access: yes, 2015
We provide sufficient conditions for a mapping $f:R^{n}\rightarrow R^{n}$ to be a global diffeomorphism in case it is strictly (Hadamard) differentiable.
Galewski, Marek
core  

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

open access: yesAdvances 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

The E-Cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on T2n

open access: yesAdvanced Nonlinear Studies, 2019
We show that the E-cohomological Conley index, that was introduced by the first author recently, has a natural module structure. This yields a new cup-length and a lower bound for the number of critical points of functionals on Hilbert spaces.
Starostka Maciej, Waterstraat Nils
doaj   +1 more source

Nonlinear Scalar Field Equations with L2 Constraint: Mountain Pass and Symmetric Mountain Pass Approaches

open access: yesAdvanced Nonlinear Studies, 2019
We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in ℝN{\mathbb{R}^{N}} (N≥2{N\geq 2}):
Hirata Jun, Tanaka Kazunaga
doaj   +1 more source

Infinitely many solutions for non-local problems with broken symmetry

open access: yesAdvances in Nonlinear Analysis, 2018
The aim of this paper is to investigate the existence of solutions of the non-local elliptic ...
Bartolo Rossella   +2 more
doaj   +1 more source

On Critical p-Laplacian Systems

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

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

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

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

open access: yesAdvanced 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   +4 more
doaj   +1 more source

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