期刊： COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023; ()
In this paper, we consider the semilinear elliptic equations(-delta u +V(x)u= (I-alpha * |u|(p))|u|(p-2)u + lambda u for x is an element of R-N,u(x) -......
期刊： COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023; ()
This paper studies a maximal L-q-regularity property for nonlinear elliptic equations of second order with a zeroth order term and gradient nonlineari......
期刊： COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023; ()
Let gamma is an element of R / {0} and X( R-n) be a ball Banach function space satisfying some extra mild assumptions. Assume that Omega = R(n)or Omeg......
期刊： COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023; 25 (3)
For a class of particle systems in continuous space with local interactions, we show that the asymptotic diffusion matrix is an infinitely differentia......
期刊： COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023; ()
The complex projective plane CP2 contains certain Lagrangian CW-complexes called pinwheels, which have interesting rigidity properties related to solu......
期刊： COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023; 25 (2)
The principal character of a representation of the free group of rank two into PSL(2, C) is a triple of complex numbers that determines an irreducible......
期刊： COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023; 25 (5)
We prove the existence of infinitely many non-radial positive solutions for the Schro spexpressioncing diexpressioneresis dinger-Newton system { delta......
期刊： COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023; ()
Loss functions are an essential part in modern data-driven approaches, such as bi-level training scheme and machine learnings. In this paper, we propo......
期刊： COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023; 25 (10)
We study the regularity of solutions to a nonlocal variational problem, which is related to the image denoising model, and we show that, in two dimens......
期刊： COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023; ()
In this paper, we study the rank-one convex hull of a differential inclusion associated to entropy solutions of a hyperbolic system of conservation la......
期刊： COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023; ()
We consider the problem of approximating Nash equilibria of N functions f(1), ... , f(N) of N variables. In particular, we show systems of the formu(j......
期刊： COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023; ()
In this paper, we construct a class of spherically symmetric and self-similar analytical solutions to the pressureless Navier-Stokes equations with de......
期刊： COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023; ()
The Artin stack M n of zero-dimensional sheaves of length n on A(3) carries two natural d-critical structures in the sense of Joyce. One comes from it......
期刊： COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023; 25 (3)
This paper studies the exponential stabilization of a Boussinesq system describing the two-way propagation of small amplitude gravity waves on the sur......
期刊： COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023; 25 (6)
Given d is an element of N, we prove that all smooth K3 surfaces (over any field of characteristic p not equal 2,3) of degree greater than 84d(2) cont......
