Results 61 to 70 of about 515 (89)
Morse 2-jet space and h-principle [PDF]
A section in the 2-jet space of Morse functions is not always homotopic to a holonomic section. We give a necessary condition for being the case and we discuss the sufficiency.
arxiv
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
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On Critical p-Laplacian Systems
We consider the critical p-Laplacian ...
Guo Zhenyu, Perera Kanishka, Zou Wenming
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A note on coupled nonlinear Schrödinger systems under the effect of general nonlinearities [PDF]
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
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
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Existence Results for Solutions to Nonlinear Dirac Systems on Compact Spin Manifolds
In this article, we study the existence of solutions for the Dirac ...
Yang Xu
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Closed trajectories on symmetric convex Hamiltonian energy surfaces [PDF]
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
Infinitely many solutions for non-local problems with broken symmetry
The aim of this paper is to investigate the existence of solutions of the non-local elliptic ...
Bartolo Rossella+2 more
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On the symmetry of minimizers in constrained quasi-linear problems [PDF]
We provide a simple proof of the radial symmetry of any nonnegative minimizer for a general class of quasi-linear minimization problems.
arxiv
The Multiplicity Problem for Periodic Orbits of Magnetic Flows on the 2-Sphere
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
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