Zobrazeno 1 - 10
of 1 058
pro vyhledávání: '"35J50"'
Autor:
Wang, Chunmei, Zhang, Shangyou
This paper presents an efficient weak Galerkin (WG) finite element method with reduced stabilizers for solving the time-harmonic Maxwell equations on both convex and non-convex polyhedral meshes. By employing bubble functions as a critical analytical
Externí odkaz:
http://arxiv.org/abs/2410.20615
This paper is concerned with a nonlinear fractional Sch\"ordinger system in $\mathbb{{R}}$ with intraspecies interactions $a_{i}>0 \ (i=1,2)$ and interspecies interactions $\beta \in\mathbb{{R}}$. We study this system by solving an associated constra
Externí odkaz:
http://arxiv.org/abs/2411.06031
Autor:
Bronsard, Lia, Chen, Jinqi, Mazzouza, Léa, McDonald, Daniel, Singh, Nathan, Stantejsky, Dominik, van Brussel, Lee
We give a brief introduction to a divergence penalized Landau-de Gennes functional as a toy model for the study of nematic liquid crystal with colloid inclusion, in the case of unequal elastic constants. We assume that the nematic occupies the exteri
Externí odkaz:
http://arxiv.org/abs/2410.09930
In this article we first prove existence of minimizers of the Landau-de Gennes energy for liquid crystals with homogeneous external magnetic field and strong uniaxial planar anchoring. Next we consider the asymptotics of solutions to the joint minimi
Externí odkaz:
http://arxiv.org/abs/2410.09914
We consider systems of the form \[ \left\{ \begin{array}{l} -\Delta u + u = \frac{2p}{p+q}(I_\alpha \ast |v|^{q})|u|^{p-2}u \ \ \textrm{ in } \mathbb{R}^N, \\ -\Delta v + v = \frac{2q}{p+q}(I_\alpha \ast |u|^{p})|v|^{q-2}v \ \ \textrm{ in } \mathbb{R
Externí odkaz:
http://arxiv.org/abs/2409.19885
Autor:
Schiffer, Stefan
We show higher integrability of minimisers of functionals \[ I(u) = \int_{\Omega} f(x,u(x)) ~\mathrm{d}x \] subject to a differential constraint $\mathscr{A} u=0$ under natural $p$-growth and $p$-coercivity conditions for $f$ and regularity assumptio
Externí odkaz:
http://arxiv.org/abs/2409.08713
Autor:
Hu, Zhengni
This paper studies solutions to a singular $SU(3)$ Toda system with linear source terms on a compact Riemann surface $\Sigma$ with smooth boundaries $\partial\Sigma$. We establish the existence of solutions when the parameters are not critical, assum
Externí odkaz:
http://arxiv.org/abs/2408.14979
Autor:
Noguera, Norman
In this work we consider a system of nonlinear Schr\"odinger equations whose nonlinearities satisfy a power-type-growth. First, we prove that the Cauchy problem is local and global well-posedness in $L^2$ and $H^1$. Next, we establish the existence o
Externí odkaz:
http://arxiv.org/abs/2408.09045
In this paper we consider a competitive weakly coupled elliptic system in which each species is attracted to a small region and repelled from its complement. In this setting, we establish the existence of infinitely many solutions and of a nonnegativ
Externí odkaz:
http://arxiv.org/abs/2407.20125
Motivated by the work of Bryant on constant mean curvature (CMC) $1$-immersions of surfaces into the hyperbolic space H^3 and after the results of Tarantello (2023), we pursue a possible parametrization for the moduli space of (CMC) 1-immersions of a
Externí odkaz:
http://arxiv.org/abs/2406.07518