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Existence and Multiplicity Results for Kirchhoff-Type Problems on a Double-Phase Setting
Mediterranean Journal of Mathematics, 2020In this paper, we study two classes of Kirchhoff-type problems set on a double-phase framework. That is, the functional space where finding solutions coincides with the Musielak–Orlicz–Sobolev space W01,H(Ω)\documentclass[12pt]{minimal} \usepackage ...
A. Fiscella, A. Pinamonti
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Multiplicity results for double phase problems in RN
Journal of Mathematics and Physics, 2020We consider a double phase problem in RN with a q−1-superlinear subcritical Caratheodory reaction term, which does not satisfy the Ambrosetti–Rabinowitz condition.
Wulong Liu, Guowei Dai
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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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Reverse Mathematics and Ordinal Multiplication
Mathematical Logic Quarterly, 1998AbstractThis paper uses the framework of reverse mathematics to analyze the proof theoretic content of several statements concerning multiplication of countable well‐orderings. In particular, a division algorithm for ordinal arithmetic is shown to be equivalent to the subsystem ATR0.
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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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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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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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Multiple Transforms for Mathematical Physics Courses
American Journal of Physics, 1966Multiple transforms are used to solve five partial differential equations subject to boundary and initial conditions. The simplifications over single transforms that result are: the reduction of the original equation and boundary relations to a single algebraic equation, the removal of singularities in the transformed time plane (s plane) which do not ...
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Multiple-choice tests: applied mathematics
1985In multiple-choice papers a large number of questions have to be done in the allocated time. Hence, it is essential to work quickly and to recognize any possible short cuts. In this chapter the two main styles of multiple-choice question are considered in detail and the various methods of approach described.
Eva Shipton +3 more
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