Nabile Boussaïd, Jack Borthwick
We consider the existence of stationary wave solutions with prescribed mass to a supercritical nonlinear Schr{ö}dinger equation on a noncompact connected metric graph without a small mass assumption.
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Nabile Boussaïd, Jack Borthwick
We consider the existence of stationary wave solutions with prescribed mass to a supercritical nonlinear Schr{ö}dinger equation on a noncompact connected metric graph without a small mass assumption.
Signa_Lab
Desde el año 2016 Signa_Lab, el laboratorio de estudios interdisciplinario para la generación de conocimiento y análisis de redes sociodigitales del ITESO, ha estado monitoreando la conversación digital en diversas plataformas en torno a cuestiones fundamentales vinculadas a la salud de la democracia y coyunturas sociopolíticas de interés nacional e internacional. Una línea de indagación muy relevante para el laboratorio es la de las violencias (en plural) en sus distintas manifestaciones. Para esta edición de Análisis plural hemos seleccionado 7 visualizaciones elaboradas por Signa_Lab y generadas con herramientas propias y con algunas otras de código abierto. Estas visualizaciones muestran diferentes rostros a través de los cuales las violencias se han hecho presentes en el país y en la localidad; atraviesan el paisaje y hablan de una crisis profunda del pacto social. Desde los asesinatos contra defensores de territorio hasta los feminicidios, pasando por la violencia político-electoral, las visualizaciones, elaboradas a partir de millones de datos que circulan cotidianamente por el ciberespacio, nos invitan a reflexionar sobre nuestra responsabilidad y a ejercer una ciudadanía crítica. Equipo de Signa_Lab a cargo de esta colaboración: Rossana Reguillo CruzDiego Arredondo OrtizPaloma López-Portillo VázquezEduardo G. de Quevedo Sánchez
Xuecheng Wang
We show that the $3D$ relativistic Vlasov-Maxwell system admits global solution for a class of arbitrarily large cylindrically symmetric initial data.
Ken Abe
We prove that bounded Beltrami fields must be symmetric if a proportionality factor depends on 2 variables in the cylindrical coordinate and admits a regular level set diffeomorphic to a cylinder or a torus.
Jihoon Ok
We prove the local boundedness and the local Hölder continuity of weak solutions to nonlocal equations with variable orders and exponents under sharp assumptions.
Chaitanya Gopalakrishna
This note gives results on the existence of semi-continuous solutions of a Fredholm integral equation of the second kind using Tarski's fixed point theorem.
Pascal Millet
We present in detail the geometric framework necessary to understand the Teukolsky equation and we develop in particular the case of Kerr spacetime.
Abdelkrim Moussaoui, Jean Velin
We establish the existence of multiple solutions for a nonvariational elliptic systems involving $p(x)$-Laplacian operator. The approach combines the methods of sub-supersolution and Leray--Schauder topological degree.
Nikolai Kutev, Tsviatko Rangelov
New Hardy type inequalities in sectorial area and as a limit in an exterior of a ball are proved. Sharpness of the inequalities is shown as well.
Eric W. Burkholder, Carl E. Wieman
David A. C. Mollinedo
We consider the stochastic transport equation with a possibly unbounded Hölder continuous vector field. Well-posedness is proved, namely, we show existence, uniqueness and strong stability of W^{1,p}-weak solutions.
Karl K. Brustad
The Dominative $p$-Laplace Operator is introduced. This operator is a relative to the $p$-Laplacian, but with the distinguishing property of being sublinear. It explains the superposition principle in the $p$-Laplace Equation.
Rowan Killip, Monica Visan, Xiaoyi Zhang
We prove symplectic non-squeezing for the cubic nonlinear Schrödinger equation on the line via finite-dimensional approximation.
Matteo Rizzi
In the paper, we consider a small perturbation of the Otha-Kawasaki functional and we construct at least four critical points close to suitable translations of the Schwarz P surface with fixed volume.
G. Seregin
A Liouville type theorem is proven for the steady-state Navier-Stokes equations. It follows from the corresponding theorem on the Stokes equations with the drift. The drift is supposed to belong to a certain Morrey space.
Maria Giovanna Mora
In this paper we give a full proof of the relaxation of the Hencky model in perfect plasticity, under suitable assumptions for the domain and the Dirichlet boundary.
Tove Dahn
This study is an attempt at generalizing the class of partially hypoelliptic differential operators to a class of pseudodifferential operators, Symbol ideals are formed on the set of lineality and we discuss suitable topologies that allow the generalizations.
Peter Hornung, Matthaus Pawelczyk, Igor Velcic
We use the notion of stochastic two-scale convergence to solve the problem of stochastic homogenization of the elastic plate in the bending regime.
Jie Xiao
Under $1<p\le 2$, this paper presents some old and new convexity/isoperimetry based inequalities for the variational $p$-capacity potentials on convex plane rings.
Esther Cohen
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