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On Existence of Multiple Normalized Solutions to a Class of Elliptic Problems in Whole $$\mathbb {R}^N$$ R N Via Penalization Method

Potential Analysis, 2023
In this paper we study the existence of multiple normalized solutions to the following class of elliptic problems $$\begin{aligned} \left\{ \begin{aligned}&-\epsilon ^2\Delta u+V(x)u=\lambda u+f(u), \quad \quad \text {in }\mathbb {R}^N,\\&\int _{\mathbb {
C. O. Alves, N. Thin
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Multiple Normalized Solutions to a Logarithmic Schrödinger Equation via Lusternik–Schnirelmann Category

Journal of Geometric Analysis, 2023
In this paper our objective is to investigate the existence of multiple normalized solutions to the logarithmic Schr\"{o}dinger equation given by \begin{align*} \left\{ \begin{aligned}&-\epsilon^2 \Delta u+V( x)u=\lambda u+u \log u^2, \quad \quad \hbox ...
C. O. Alves, Chao Ji
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Space of Solutions for a Normal Mixture

Biometrika, 1973
In a recent study of the distribution of Vb1 in sampling from Pearson Type I distributions (Bowman & Shenton, 1973), it was decided to approximate the distribution by equating the lower-order moments to those of some well-known distributions, such as the Pearson system, Gram-Charlier distribution, etc.
L. R. Shenton, Kimiko o Bowman
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Determination of the normality of cholinesterase solutions

Analytical Biochemistry, 1978
Abstract A very potent anticholinesterase compound, 7-(diethoxyphosphinyloxy)- N -methylquinolinium fluorosulfate, has been used to determine the normality of acetylcholinesterase solutions. The inhibitor reacts rapidly and completely with acetylcholinesterase.
Donald E. Carpenter   +3 more
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Normalized solutions for a Schrödinger equation with critical growth in RN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{documen

Calculus of Variations and Partial Differential Equations, 2021
In this paper we study the existence of normalized solutions to the following nonlinear Schrödinger equation with critical growth -Δu=λu+f(u),inRN,u>0,∫RN|u|2dx=a2,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage ...
C. O. Alves, Chao Ji, O. Miyagaki
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Multiple normalized solutions for fractional elliptic problems

Forum mathematicum
In this article, we are first concerned with the existence of multiple normalized solutions to the following fractional p-Laplace problem: { ( - Δ ) p s ⁢ v + 𝒱 ⁢ ( ξ ⁢ x ) ⁢ | v | p - 2 ⁢ v = λ ⁢ | v | p - 2 ⁢ v + f ⁢ ( v )   in ⁢ ℝ N , ∫ ℝ N | v | p ...
Thin Van Nguyen, V. Rǎdulescu
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Solid solutions of normal paraffins

Journal of Structural Chemistry, 1996
The results of the X-ray diffraction and thermal X-ray diffraction studies of the paraffins CnH2n+2 are revised based on new principles asserting the existence of several types of rotator states of paraffins. Along with the known isomorphism factors, such as the parity (symmetry) of the starting components and the difference between the chain lengths ...
S. Yu. Chazhengina   +2 more
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Normal Salt Solution.

JAMA: The Journal of the American Medical Association, 1898
Chicago, Aug. 17, 1898. To the Editor: —Have just been reading the really valuable article, "Saline Infusions" ( vide Journal, August 6, p. 306), and its suggestions will doubtless have great weight with many practitioners. In view of that fact, I thought it might be well to call attention to a typographic error in the fourth line from the top of ...
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