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Multiplicity of Normalized Solutions for the Fractional Schrödinger Equation with Potentials [PDF]
MathematicsWe are concerned with the existence and multiplicity of normalized solutions to the fractional Schrödinger equation (−Δ)su+V(εx)u=λu+h(εx)f(u)inRN,∫RN|u|2dx=a,, where (−Δ)s is the fractional Laplacian, s∈(0,1), a,ε>0, λ∈R is an unknown parameter that ...
Xue Zhang +2 more
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Normalized solutions for the Klein Gordon-Dirac system
Rendiconti Lincei, Matematica e Applicazioni, 2022 We prove the existence of a stationary solution for the system describing the interaction between an electron coupled with a massless scalar field (a photon). We find a solution, with fixed L^2 -norm, by variational methods, as a critical point of an energy functional.
Vittorio Coti Zelati, Margherita Nolasco
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Normalized Solutions to the Fractional Schrödinger Equation with Potential
Mediterranean Journal of Mathematics, 2023 This paper is concerned with the existence of normalized solutions to a class of Schrödinger equations driven by a fractional operator with a parametric potential term.
J. Zuo, Chun-gen Liu, C. Vetro
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Normalized solutions for nonlinear Kirchhoff type equations in high dimensions
Electronic Research Archive, 2022 We study the normalized solutions for nonlinear Kirchhoff equation with Sobolev critical exponent in high dimensions $ \mathbb{R}^N(N\geqslant4) $. In particular, in dimension $ N = 4 $, there is a special phenomenon for Kirchhoff equation that the mass ...
Lingzheng Kong, Haibo Chen
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On Iterative Solution of the Extended Normal Equations [PDF]
SIAM Journal on Matrix Analysis and Applications, 2020 Given a full-rank matrix $A \in \mathbb{R}^{m\times n}$ ($m\geq n$), we consider a special class of linear systems $A^T\! Ax=A^T\!
Henri Calandra +3 more
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Normalized solutions to Schrödinger equations in the strongly sublinear regime [PDF]
Calculus of Variations and Partial Differential Equations, 2023 We look for solutions to the Schrödinger equation $$\begin{aligned} -\Delta u + \lambda u = g(u) \quad \text {in } \mathbb {R}^N \end{aligned}$$
Jarosław Mederski, Jacopo Schino
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Multiple normalized solutions for a quasi-linear Schrödinger equation via dual approach
Topological Methods in Nonlinear Analysis, 2023 In this paper, we construct multiple normalized solutions of the following from quasi-linear Schrödinger equation: -\Delta u-\Delta(|u|^{2})u-\mu u=|u|^{p-2}u, \quad\text{in } \mathbb{R}^N, subject to a mass-subcritical constraint. In order to overcome
Lin Zhang, Yongqing Li, Zhi-Qiang Wang
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Ancient solutions of the affine normal flow [PDF]
Journal of Differential Geometry, 2008 A corrollary retracted, and a remark and some typos ...
Loftin, John, Tsui, Mao-Pei
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Combinatorial solutions to normal ordering of bosons [PDF]
Czechoslovak Journal of Physics, 2005 Presented at 14th Int. Colloquium on Integrable Systems, Prague, Czech Republic, 16-18 June 2005.
Karol A. Penson +6 more
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