Results 21 to 30 of about 8,131,330 (355)
NORMAL BGG SOLUTIONS AND POLYNOMIALS [PDF]
International Journal of Mathematics, 2012 First BGG operators are a large class of overdetermined linear differential operators intrinsically associated to a parabolic geometry on a manifold. The corresponding equations include those controlling infinitesimal automorphisms, higher symmetries and many other widely studied PDE of geometric origin.
A. R. Gover +3 more
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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
doaj +1 more source
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
semanticscholar +1 more source
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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Multiple normalized solutions for quasi-linear Schr\"odinger equations [PDF]
, 2015 In this paper we prove the existence of two solutions having a prescribed $L^2$-norm for a quasi-linear Schr\"odinger equation. One of these solutions is a mountain pass solution relative to a constraint and the other one a minimum either local or global.
Jeanjean, Louis +2 more
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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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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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Coupling of Brownian motions and Perelman's L-functional [PDF]
, 2010 We show that on a manifold whose Riemannian metric evolves under backwards Ricci flow two Brownian motions can be coupled in such a way that the expectation of their normalized L-distance is non-increasing. As an immediate corollary we obtain a new proof
Kuwada, Kazumasa, Philipowski, Robert
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