Uniqueness and non–uniqueness of prescribed mass NLS ground states on metric graphs

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Ground State Mass Concentration for Nls

We consider finite time blowup solutions of the L 2-critical cubic focusing nonlinear Schrödinger equation on R 2. Such functions, when in H 1 , are known to concentrate a fixed L 2-mass (the mass of the ground state) at the point of blowup. Blowup solutions from initial data that is only in L 2 are known to concentrate at least a small amount of mass. In this paper we consider the intermediate...

متن کامل

On the uniqueness of ground states of non-local equations

We review our joint result with E. Lenzmann about the uniqueness of ground state solutions of non-linear equations involving the fractional Laplacian and provide an alternate uniqueness proof for an equation related to the intermediate long-wave equation.

متن کامل

Uniqueness and nonuniqueness in the Einstein constraints.

The conformal thin-sandwich (CTS) equations are a set of four of the Einstein equations, which generalize the Laplace-Poisson equation of Newton's theory. We examine numerically solutions of the CTS equations describing perturbed Minkowski space, and find only one solution. However, we find two distinct solutions, one even containing a black hole, when the lapse is determined by a fifth ellipti...

متن کامل

Optimal Mass Transport on Metric Graphs

We study an optimal mass transport problem between two equal masses on a metric graph where the cost is given by the distance in the graph. To solve this problem we find a Kantorovich potential as the limit of p−Laplacian type problems in the graph where at the vertices we impose zero total flux boundary conditions. In addition, the approximation procedure allows us to find a transport density ...

متن کامل

Solis Graphs and Uniquely Metric Basis Graphs

A set $Wsubset V (G)$ is called a resolving set, if for every two distinct vertices $u, v in V (G)$ there exists $win W$ such that $d(u,w) not = d(v,w)$, where $d(x, y)$ is the distance between the vertices $x$ and $y$. A resolving set for $G$ with minimum cardinality is called a metric basis. A graph with a unique metric basis is called a uniquely dimensional graph. In this paper, we establish...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2020

ISSN: 0001-8708

DOI: 10.1016/j.aim.2020.107352