Results 21 to 30 of about 39 (39)

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
doaj   +1 more source

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

Advanced 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, Gallo Marco, Tanaka Kazunaga   +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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Ground state solutions to singularly perturbed Chern-Simons-Schrödinger systems with a neutral scalar field

Demonstratio Mathematica
In 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
doaj   +1 more source

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 multiplicity of solutions to nonlinear Dirac equation with local super-quadratic growth

Advances in Nonlinear Analysis
In this article, we study the following nonlinear Dirac equation: −iα⋅∇u+aβu+V(x)u=g(x,∣u∣)u,x∈R3.-i\alpha \hspace{0.33em}\cdot \hspace{0.33em}\nabla u+a\beta u+V\left(x)u=g\left(x,| u| )u,\hspace{1em}x\in {{\mathbb{R}}}^{3}.
Liao Fangfang, Chen Tiantian
doaj   +1 more source

On the time-dependent Born–Oppenheimer approximation

European Journal of Applied Mathematics
In this paper, we consider the time-dependent Born–Oppenheimer approximation (BOA) of a classical quantum molecule involving a possibly large number of nuclei and electrons, described by a Schrödinger equation.
Sebastian Gherghe, Ivan Moyano, Israel Michael Sigal   +2 more
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Spectral Transition for Dirac Operators with Electrostatic δ -Shell Potentials Supported on the Straight Line. [PDF]

Integr Equ Oper Theory, 2022
Behrndt J, Holzmann M, Tušek M.
europepmc   +1 more source

Dirac operator spectrum in tubes and layers with a zigzag-type boundary. [PDF]

Lett Math Phys, 2022
Exner P, Holzmann M.
europepmc   +1 more source

Self-Adjoint Dirac Operators on Domains in R 3. [PDF]

Ann Henri Poincare, 2020
Behrndt J, Holzmann M, Mas A.
europepmc   +1 more source