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Multiplicity and limit of solutions for logarithmic Schrödinger equations on graphs
Journal of Mathematics and PhysicsLet Ω be a finite connected subset of a locally finite graph G = (V, E) with the vertex set V and the edge set E. We investigate the logarithmic Schrödinger equation on Ω with the nonlinear term |u|p−2u log u2. For p > 2, through two different approaches
Mengqiu Shao, Yunyan Yang, Liang Zhao
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Regularity and multiplicity results for fractional (p,q)-Laplacian equations
Communications in Contemporary Mathematics, 2019This paper deals with the study of the following nonlinear doubly nonlocal equation: [Formula: see text] where [Formula: see text] is a bounded domain in [Formula: see text] with smooth boundary, [Formula: see text], with [Formula: see text], [Formula ...
Divya Goel, Deepak Kumar, K. Sreenadh
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AIMS Mathematics
This study investigates the existence of triple weak solutions for a system of nonlinear elliptic equations with a fourth-order operator. The problem arises in the mathematical modeling of complex physical phenomena.
K. Kefi
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This study investigates the existence of triple weak solutions for a system of nonlinear elliptic equations with a fourth-order operator. The problem arises in the mathematical modeling of complex physical phenomena.
K. Kefi
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International mathematics research notices, 2019
In this paper we study the following nonlinear Schrödinger equation with magnetic field $$\begin{align*} \left(\frac{\varepsilon}{i}\nabla-A(x)\right)^{2}u+V(x)u=f(| u|^{2})u,\quad x\in\mathbb{R}^{2}, \end{align*}$$where $\varepsilon>0$ is a parameter,
P. d’Avenia, Chao Ji
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In this paper we study the following nonlinear Schrödinger equation with magnetic field $$\begin{align*} \left(\frac{\varepsilon}{i}\nabla-A(x)\right)^{2}u+V(x)u=f(| u|^{2})u,\quad x\in\mathbb{R}^{2}, \end{align*}$$where $\varepsilon>0$ is a parameter,
P. d’Avenia, Chao Ji
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Multiplication of Distributions in Mathematical Physics
2016We expose a mathematical method that permits to treat calculations in form of multiplications of distributions that arise in various areas of mathematical physics, starting with an analysis of the famous Schwartz impossibility result (1954), then a construction of products of distributions, with examples and references of use in various domains of ...
J. Aragona +4 more
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The multiple voices of a mathematics classroom community
Educational Studies in Mathematics, 2001Several mathematics educators have expressed their concern about conflicting visions of educational reform among parents and teachers, which could result in the emergence of multiple voices in discussions of achievement and instruction. The aim of this article is to examine the multiple voices of educational reform in the discourse of a third grade ...
Ellen Ansell, Ellice A. Forman
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Communications in Contemporary Mathematics, 2019
In this paper, bifurcation diagrams and exact multiplicity of positive solution are obtained for the one-dimensional prescribed mean curvature equation in Minkowski space in the form of [Formula: see text] where [Formula: see text] is a bifurcation ...
Xuemei Zhang, M. Feng
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In this paper, bifurcation diagrams and exact multiplicity of positive solution are obtained for the one-dimensional prescribed mean curvature equation in Minkowski space in the form of [Formula: see text] where [Formula: see text] is a bifurcation ...
Xuemei Zhang, M. Feng
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On Efficient Solutions to Multiple Objective Mathematical Programs
Management Science, 1984This note develops properties of quasi-efficient solutions and explores interrelationships to the classical concept of efficiency. In particular, a point is a quasi-efficient solution to a multiple objective mathematical program if and only if it is an optimal solution to a scalar maximum problem for some set of nonnegative weights on the objectives ...
T. J. Lowe +3 more
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SIMPLIFIED MATHEMATICS FOR MULTIPLE BIOASSAYS
Acta Endocrinologica, 1960ABSTRACT Gaddum's simplified system of computation for the analysis of biological parallel-line assays is extended to the assay of several unknown preparations simultaneously against the same standard, using up to four dose levels of each preparation.
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Demyelination patterns in a mathematical model of multiple sclerosis
Journal of Mathematical Biology, 2016In this paper we derive a reaction-diffusion-chemotaxis model for the dynamics of multiple sclerosis. We focus on the early inflammatory phase of the disease characterized by activated local microglia, with the recruitment of a systemically activated immune response, and by oligodendrocyte apoptosis. The model consists of three equations describing the
Lombardo M. C. +5 more
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