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THE ABUSE OF NORMAL SALT SOLUTION [PDF]
Journal of the American Medical Association, 1914 The presence of a relatively large proportion of sodium chlorid in our bodies harks back to the composition of sea-water at the time when our ancestors were ameboid inhabitants of the primeval ocean. To a certain amount of sodium chlorid our organisms are habituated, and that amount has become essential to our well-being; larger amounts, however, are ...
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Parabolic Minkowski convolutions of viscosity solutions to fully nonlinear equations [PDF]
, 2019 This paper is concerned with the Minkowski convolution of viscosity solutions of fully nonlinear parabolic equations. We adopt this convolution to compare viscosity solutions of initial-boundary value problems in different domains.
Ishige, Kazuhiro +2 more
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Normal solutions of the Beltrami equation
Journal of Mathematical Analysis and Applications, 1987 A homeomorphism f is said to be quasiconformal, with given complex dilatation μ, in a domain G of the complex plane, if it satisfies the Beltrami equation fz, = μfz, (1) where μ =μ(z) is a complex-valued measurable function on G with μ< k< 1, and fz=1/2(fx-ify), fz = 1/2(fx + ify).
W.R Derrick, Joseph A. Cima
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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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Advances in Nonlinear Analysis, 2022 In this article, we consider the upper critical Choquard equation with a local perturbation −Δu=λu+(Iα∗∣u∣p)∣u∣p−2u+μ∣u∣q−2u,x∈RN,u∈H1(RN),∫RN∣u∣2=a,\left\{\begin{array}{l}-\Delta u=\lambda u+\left({I}_{\alpha }\ast | u\hspace{-0.25em}{| }^{p})| u\hspace{
Li Xinfu
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we look for solutions to the following critical Schrödinger system $$\begin{cases} -\Delta u+(V_1+\lambda_1)u=|u|^{2^*-2}u+|u|^{p_1-2}u+\beta r_1|u|^{r_1-2}u|v|^{r_2}&{\rm in}\ \mathbb{R}^N,\\ -\Delta v+(V_2+\lambda_2)v=|v|^{2^*-2}v+|v ...
Lei Long, Xiaojing Feng
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The Steady Motion of a Symmetric, Finite Core Size, Counterrotating Vortex Pair [PDF]
, 1994 The steady motion of a symmetric, finite core size, counterrotating vortex pair is characterized by circulation r, a velocity V, and a spacing 2x_∞. In the classical limit of a point vortex, the normalized velocity, vx_∞/r, is 1/(4π).
Kubota, Toshi, Yang, Joseph
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Nonparaxial dark solitons in optical Kerr media [PDF]
, 2005 We show that the nonlinear equation that describes nonparaxial Kerr propagation, together with the already reported bright-soliton solutions, admits of (1 + 1)D dark-soliton solutions. Unlike their paraxial counterparts, dark solitons can be excited only
Ciattoni, Alessandro +3 more
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Normalized solutions for the Schrödinger-Poisson system with doubly critical growth
Topological Methods in Nonlinear Analysis, 2023 In this paper we are concerned with normalized solutions to the Schrödinger-Poisson system with doubly critical growth \[ \begin{cases} -\Delta u-\phi |u|^3u=\lambda u+\mu|u|^{q-2}u+|u|^4u, &x \in \R^{3},\\ -\Delta \phi=|u|^5, &x \in \R^{3}, \end{cases}
Yuxi Meng, Xiaoming He
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Normalized solutions for a coupled Schrödinger system [PDF]
Mathematische Annalen, 2020 27 pages, 1 ...
Xuexiu Zhong +2 more
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