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Long time stability for the dispersive SQG equation and Boussinesq equations in Sobolev space H-s

期刊: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020; 22 (3)

Dispersive SQG equation have been studied by many works (see, e.g., [M. Cannone, C. Miao and L. Xue, Global regularity for the supercritical dissipati......

Dirichlet spaces of domains bounded by quasicircles

期刊: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020; 22 (3)

Consider a multiply-connected domain Sigma in the sphere bounded by n non-intersecting quasicircles. We characterize the Dirichlet space of Sigma as a......

Residually finite rationally p groups

期刊: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020; 22 (3)

In this paper, we develop the theory of residually finite rationally p (RFRp) groups, where p is a prime. We first prove a series of results about the......

Local Holder regularity for a doubly singular PDE

期刊: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020; 22 (3)

We establish the local Holder continuity for the nonnegative bounded weak solutions of a certain doubly singular parabolic equation. The proof involve......

Infinitely many solutions for critical quasilinear equations involving Hardy potential

期刊: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020; 22 (3)

In this paper, we consider the following quasilinear elliptic equation with critical growth and a Hardy term: {- Sigma(N)(i,j=1) D-j(c(ij)(w)D(i)w) + ......

Long-time asymptotics for a 1D nonlocal porous medium equation with absorption or convection

期刊: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020; 22 (3)

In this paper, the long-time asymptotic behaviors of one-dimensional porous medium equations with a fractional pressure and absorption or convection a......

Low energy configurations of topological singularities in two dimensions: A Gamma-convergence analysis of dipoles

期刊: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020; 22 (3)

This paper deals with the variational analysis of topological singularities in two dimensions. We consider two canonical zero-temperature models: the ......

A quasi-Hopf algebra for the triplet vertex operator algebra

期刊: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020; 22 (3)

We give a new factorizable ribbon quasi-IIopf algebra U, whose underlying algebra is that of the restricted quantum group for sl(2) at a 2pth root of ......

A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere

期刊: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020; 22 (3)

Here, we prove an isoperimetric inequality for the harmonic mean of the first N- 1 nontrivial Neumann eigenvalues of the Laplace-Beltrami operator for......

Commuting planar polynomial vector fields for conservative Newton systems

期刊: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020; 22 (4)

We study the problem of characterizing polynomial vector fields that commute with a given polynomial vector field on a plane. It is a classical result......

Choquard equations with critical nonlinearities

期刊: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020; 22 (4)

In this paper, we study the Brezis-Nirenberg type problem for Choquard equations in R-N -Delta u + u = (I-alpha * vertical bar u vertical bar(p))verti......

An almost rigidity theorem and its applications to noncompact RCD(0, N) spaces with linear volume growth

期刊: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020; 22 (4)

The main results of this paper consist of two parts. First, we obtain an almost rigidity theorem which roughly says that on an RCD(0, N) space, when a......

Random polytopes obtained by matrices with heavy-tailed entries

期刊: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020; 22 (4)

Let Gamma be an N x n random matrix with independent entries and such that in each row entries are i.i.d. Assume also that the entries are symmetric, ......

An embedding theorem for BV-functions

期刊: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020; 22 (4)

We prove an embedding theorem for functions of bounded variation. We give an application to the study of Poisson integral on the disk.

On the Neumann Laplacian in nonuniformly collapsing strips

期刊: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020; 22 (4)

Consider the Neumann Laplacian in the region below the graph of epsilon g(x), for a positive smooth function g : [a, infinity) -> R with both g'(x)......

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