Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Richard S. Laugesen"'
Publikováno v:
Mathematische Annalen.
Autor:
Richard S. Laugesen
Publikováno v:
Annales mathématiques du Québec. 45:363-390
The hyperbolic center of mass of a finite measure on the unit ball with respect to a radially increasing weight is shown to exist, be unique, and depend continuously on the measure. Prior results of this type are extended by characterizing the center
Autor:
Richard S. Laugesen
Publikováno v:
The Journal of Geometric Analysis. 31:8762-8779
The center of mass of a finite measure with respect to a radially increasing weight is shown to exist, be unique, and depend continuously on the measure.
Autor:
Richard S. Laugesen
Logarithmic capacity is shown to be minimal for a planar set having $N$-fold rotational symmetry ($N \geq 3$), among all conductors obtained from the set by area-preserving linear transformations. Newtonian and Riesz capacities obey a similar propert
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3cf775831650fec1f72142154091291
http://arxiv.org/abs/2106.10255
http://arxiv.org/abs/2106.10255
Autor:
Richard. S. Laugesen, Mary C. Pugh
Publikováno v:
Electronic Journal of Differential Equations, Vol 2002, Iss 95, Pp 1-29 (2002)
We study the phase space of the evolution equation $$ h_t = -(h^n h_{xxx})_x - mathcal{B} (h^m h_x)_x , $$ where $h(x,t) geq 0$. The parameters $n>0$, $m in mathbb{R}$, and the Bond number $mathcal{B}>0$ are given. We find numerically, for some range
Externí odkaz:
https://doaj.org/article/6d444048092d4bc6ac87b39ccc4299b8
Autor:
Richard S. Laugesen, Pedro Freitas
Publikováno v:
Canadian Journal of Mathematics. 72:1024-1043
The second eigenvalue of the Robin Laplacian is shown to be maximal for the disk among simply-connected planar domains of fixed area when the Robin parameter is scaled by perimeter in the form $\unicode[STIX]{x1D6FC}/L(\unicode[STIX]{x1D6FA})$, and $
Publikováno v:
Journal of Spectral Theory. 9:127-135
Autor:
Shiya Liu, Richard S. Laugesen
Publikováno v:
The Journal of Analysis. 26:71-102
Translate the positive-integer lattice points in the first quadrant by some amount in the horizontal and vertical directions, and consider a decreasing concave (or convex) curve in the first quadrant. Construct a family of curves by rescaling in the
Autor:
Richard S. Laugesen
Publikováno v:
Spectral Theory and Applications. :23-55
Autor:
Pedro Freitas, Richard S. Laugesen
The second eigenvalue of the Robin Laplacian is shown to be maximal for the ball among domains of fixed volume, for negative values of the Robin parameter $\alpha$ in the regime connecting the first nontrivial Neumann and Steklov eigenvalues, and eve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e8d3d586d4c253f69d1f9750e863d7a3
http://arxiv.org/abs/1810.07461
http://arxiv.org/abs/1810.07461