Results 31 to 40 of about 830 (79)
On the logarithmic Schrodinger equation
, 2013 In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we propose a direct variational approach to investigate the existence of infinitely many weak solutions for a class of semi-linear elliptic equations with ...
d'Avenia, Pietro +2 more
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Global Weak Solutions of the Relativistic Vlasov-Klein-Gordon System
, 2002 We consider an ensemble of classical particles coupled to a Klein-Gordon field. For the resulting nonlinear system of partial differential equations, which we call the relativistic Vlasov-Klein-Gordon system, we prove the existence of global weak ...
Kunzinger, Michael +3 more
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Distinguished self-adjoint extensions of Dirac operators via Hardy-Dirac inequalities
, 2011 We prove some Hardy-Dirac inequalities with two different weights including measure valued and Coulombic ones. Those inequalities are used to construct distinguished self-adjoint extensions of Dirac operators for a class of diagonal potentials related to
Arai M. +3 more
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Centre-of-mass motion in multi-particle Schrödinger–Newton dynamics
New Journal of Physics, 2014 We investigate the implication of the nonlinear and non-local multi-particle Schrödinger–Newton equation for the motion of the mass centre of an extended multi-particle object, giving self-contained and comprehensible derivations.
Domenico Giulini, André Großardt
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Klein–Gordon–Maxwell Systems with Nonconstant Coupling Coefficient
Advanced Nonlinear Studies, 2018 We study a Klein–Gordon–Maxwell system in a bounded spatial domain under Neumann boundary conditions on the electric potential. We allow a nonconstant coupling coefficient. For sufficiently small data, we find infinitely many static solutions.
Lazzo Monica, Pisani Lorenzo
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Advanced Nonlinear StudiesIn 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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Nonlocal perturbations of the fractional Choquard equation
Advances in Nonlinear Analysis, 2017 We study the ...
Singh Gurpreet
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Multiple Aharonov--Bohm eigenvalues: the case of the first eigenvalue on the disk
, 2018 It is known that the first eigenvalue for Aharonov--Bohm operators with half-integer circulation in the unit disk is double if the potential's pole is located at the origin. We prove that in fact it is simple as the pole $a\neq 0$
Abatangelo, Laura
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Demonstratio MathematicaIn this paper, we consider the following singularly perturbed Chern-Simons-Schrödinger systems(P) −ε2Δu+e2|A|2+V(x)+2eA0+21+κq2Nu+q|u|p−2u=0, −ε2ΔN+κ2q2N+q1+κq2u2=0, εκ∂1A2−∂2A1=−eu2,∂1A1+∂2A2=0, εκ∂1A0=e2A2u2,εκ∂2A0=−e2A1u2, $$\begin{cases}\quad \hfill &
Deng Jin
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Multiple solutions for the quasilinear Choquard equation with Berestycki-Lions-type nonlinearities
Advances in Nonlinear AnalysisIn 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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