Zobrazeno 1 - 10
of 150
pro vyhledávání: '"35b07"'
We are concerned with the well-posedness of an inverse problem for determining the wedge boundary and associated two-dimensional steady supersonic Euler flow past the wedge, provided that the pressure distribution on the boundary surface of the wedge
Externí odkaz:
http://arxiv.org/abs/2409.18241
Autor:
Liu, Baiyu, Yang, Wenlong
In this paper, we investigate the asymptotic symmetry and monotonicity of positive solutions to a reaction-diffusion equation in the unit ball, utilizing techniques from elliptic geometry. Firstly, we discuss the properties of solutions in the ellipt
Externí odkaz:
http://arxiv.org/abs/2409.05366
Autor:
Schaback, Robert
This paper constructs unique compactly supported functions in Sobolev spaces that have minimal norm, maximal support, and maximal central value, under certain renormalizations. They may serve as optimized basis functions in interpolation or approxima
Externí odkaz:
http://arxiv.org/abs/2409.01759
In this paper, we consider the following Choquard type equation \begin{equation} \left\{\begin{aligned} &-\Delta u+\lambda u=\gamma(\Phi_N(|x|)\ast|u|^p)u \ \ \mbox{in $\mathbb{R}^N$}, \\ &\lim\limits_{|x|\to\infty}u(x)=0,\\ \end{aligned}\right. \end
Externí odkaz:
http://arxiv.org/abs/2408.00670
We study the existence and concentration of positive and nodal solutions to a Schr\"odinger equation in the presence of a shrinking self-focusing core of arbitrary shape. Via a suitable rescaling, the concentration gives rise to a limiting profile th
Externí odkaz:
http://arxiv.org/abs/2407.04830
This paper is concerned with the existence and qualitative properties of positive ground state solutions for the planar Schr\"odinger-Newton equation on the disc. First, we prove the existence and radial symmetry of all the positive ground state solu
Externí odkaz:
http://arxiv.org/abs/2406.06919
We establish the optimal convergence rate of the hypersonic similarity for two-dimensional steady potential flows with {\it large data} past over a straight wedge in the $BV\cap L^1$ framework, provided that the total variation of the large data mult
Externí odkaz:
http://arxiv.org/abs/2405.04720
We discuss the problem of establishing the existence of the Ground States for the subcritical focusing Nonlinear Schr\"odinger energy on a domain made of a line and a plane intersecting at a point. The problem is physically motivated by the experimen
Externí odkaz:
http://arxiv.org/abs/2404.07843
Publikováno v:
J. Differential Equations 411 (2024), 604-618
We study steady axisymmetric water waves with general vorticity and swirl, subject to the influence of surface tension. Explicit solutions to such a water wave problem are static configurations where the surface is an unduloid, that is, a periodic su
Externí odkaz:
http://arxiv.org/abs/2401.04613
We are concerned with inverse problems for supersonic potential flows past infinite axisymmetric Lipschitz cones. The supersonic flows under consideration are governed by the steady isentropic Euler equations for axisymmetric potential flows, which i
Externí odkaz:
http://arxiv.org/abs/2310.17815