scholarly journals Holomorphic Borcherds products of singular weight for simple lattices of arbitrary level

2019 ◽  
Vol 147 (11) ◽  
pp. 4639-4653
Author(s):  
Sebastian Opitz ◽  
Markus Schwagenscheidt
Keyword(s):  
Singular Weight ◽  
Arbitrary Level

scholarly journals Arbitrary-level hanging nodes for adaptivehp-FEM approximations in 3D

2014 ◽  
Vol 270 ◽  
pp. 121-133 ◽  
Author(s):  
Pavel Kus ◽  
Pavel Solin ◽  
David Andrs
Keyword(s):  
Hanging Nodes ◽  
Arbitrary Level

scholarly journals WAKIMOTO REALIZATION OF THE ELLIPTIC QUANTUM GROUP $U_{q,p}(\widehat{{\rm sl}_N})$

2009 ◽  
Vol 24 (30) ◽  
pp. 5561-5578
Author(s):  
TAKEO KOJIMA
Keyword(s):  
Quantum Group ◽  
Free Field ◽  
Quantum Algebra ◽  
Free Field Realization ◽  
Wakimoto Realization ◽  
Arbitrary Level ◽  
Elliptic Quantum

We construct a free field realization of the elliptic quantum algebra [Formula: see text] for arbitrary level k ≠ 0, -N. We study Drinfeld current and the screening current associated with [Formula: see text] for arbitrary level k. In the limit p → 0 this realization becomes q-Wakimoto realization for [Formula: see text].

scholarly journals Three Solutions Theorem forp-Laplacian Problems with a Singular Weight and Its Application

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Yong-Hoon Lee ◽  
Seong-Uk Kim ◽  
Eun Kyoung Lee
Keyword(s):  
Exterior Domain ◽  
Upper And Lower Solutions ◽  
Solution Space ◽  
Combustion Model ◽  
Radial Solutions ◽  
Three Solutions ◽  
Singular Weight ◽  
One Dimensional ◽  
Positive Radial Solutions ◽  
Three Solutions Theorem

We prove Amann type three solutions theorem for one dimensionalp-Laplacian problems with a singular weight function. To prove this theorem, we define a strong upper and lower solutions and compute the Leray-Schauder degree on a newly established weighted solution space. As an application, we consider the combustion model and show the existence of three positive radial solutions on an exterior domain.

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