Results 21 to 30 of about 3,167,373 (248)
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 ...
openaire +2 more sources
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.
Błasiak, P. +4 more
openaire +3 more sources
Normalized Solutions to the Fractional Schrödinger Equation with Potential [PDF]
, 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.
Jiabin Zuo +5 more
core +1 more source
Univalence of normalized solutions of W″(z)+p(z)W(z)=0
International Journal of Mathematics and Mathematical Sciences, 1982 Denote solutions of W″(z)+p(z)W(z)=0 by Wα(z)=zα[1+∑n=1∞anzn] and Wβ(z)=zβ[1+∑n=1∞bnzn], where ...
R. K. Brown
doaj +1 more source
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
doaj +1 more source
Normalized solutions to a non-variational Schrödinger system
, 2023 We establish the existence of positive normalized (in the $L^2$ sense) solutions to non-variational weakly coupled elliptic systems of $\ell$ equations. We consider couplings of both cooperative and competitive type. We show the problem can be formulated
Clapp, Mónica, Szulkin, Andrzej,
core +2 more sources
Comparing distributions by using dependent normalized random-measure mixtures [PDF]
, 2013 A methodology for the simultaneous Bayesian non-parametric modelling of several distributions is developed. Our approach uses normalized random measures with independent increments and builds dependence through the superposition of shared processes.
J. E. Griffin +8 more
core +1 more source
A comprehensive review on the existence of normalized solutions for four classes of nonlinear elliptic equations [PDF]
Opuscula MathematicaThis paper provides a comprehensive review of recent results concerning the existence of normalized solutions for four classes of nonlinear elliptic equations: Schrödinger equations, Schrödinger-Poisson equations, Kirchhoff equations, and Choquard ...
Sitong Chen, Xianhua Tang
doaj +1 more source
Quasilinear Schr\"odinger equations: ground state and infinitely many normalized solutions [PDF]
, 2021 In the present paper, we study the normalized solutions for the following quasilinear Schr\"odinger equations: $$-\Delta u-u\Delta u^2+\lambda u=|u|^{p-2}u \quad \text{in}~\mathbb R^N,$$ with prescribed mass $$\int_{\mathbb R^N} u^2=a^2.$$ We first ...
Li, Houwang, Zou, Wenming
core +1 more source
Normalized solutions for the Klein–Gordon–Dirac system
Rendiconti Lincei, Matematica e Applicazioni, 2023 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 ...
Coti Zelati V., Nolasco M.
openaire +4 more sources