On a Weyl‐type theorem for higher‐order Lagrangians

1987 ◽  
Vol 28 (8) ◽  
pp. 1854-1857
Author(s):  
M. Castagnino ◽  
G. Domenech ◽  
R. J. Noriega ◽  
C. G. Schifini
Keyword(s):  
Type Theorem ◽  
Higher Order

scholarly journals Universality on higher order Hardy spaces

2005 ◽  
Vol 71 (1) ◽  
pp. 17-28
Author(s):  
L. Bernal-González ◽  
A. Bonilla ◽  
M. C. Calderón-Moreno
Keyword(s):  
Unit Disk ◽  
Hardy Spaces ◽  
Composition Operators ◽  
Type Theorem ◽  
Higher Order ◽  
Interpolating Sequences ◽  
Bounded Functions

We prove a Seidel-Walsh-type theorem about the universality of a sequence of derivation-composition operators generated by automorphisms of the unit disk in the setting of the higher order Hardy spaces. Moreover, some related positive or negative assertions involving interpolating sequences and sequences between two tangent circles are established for the class of bounded functions in the unit disk. Our statements improve earlier ones due to Herzog and to the first and third authors.

Liouville type theorem for higher order Hénon equations on a half space

2019 ◽  
Vol 183 ◽  
pp. 284-302 ◽  
Author(s):  
Wei Dai ◽  
Guolin Qin ◽  
Yang Zhang
Keyword(s):  
Half Space ◽  
Type Theorem ◽  
Higher Order ◽  
Liouville Type ◽  
Liouville Type Theorem

scholarly journals A Sperner-Type Theorem for Set-Partition Systems

10.37236/1987 ◽  
2005 ◽  
Vol 12 (1) ◽  
Author(s):  
Karen Meagher ◽  
Lucia Moura ◽  
Brett Stevens
Keyword(s):  
Type Theorem ◽  
Higher Order ◽  
Set Partition ◽  
Set Partitions ◽  
Uniform Partition ◽  
Partition System ◽  
Sperner's Theorem

A Sperner partition system is a system of set partitions such that any two set partitions $P$ and $Q$ in the system have the property that for all classes $A$ of $P$ and all classes $B$ of $Q$, $A \not\subseteq B$ and $B \not\subseteq A$. A $k$-partition is a set partition with $k$ classes and a $k$-partition is said to be uniform if every class has the same cardinality $c=n/k$. In this paper, we prove a higher order generalization of Sperner's Theorem. In particular, we show that if $k$ divides $n$ the largest Sperner $k$-partition system on an $n$-set has cardinality ${n-1 \choose n/k-1}$ and is a uniform partition system. We give a bound on the cardinality of a Sperner $k$-partition system of an $n$-set for any $k$ and $n$.

scholarly journals A Liouville-type theorem for higher order elliptic systems

2014 ◽  
Vol 34 (9) ◽  
pp. 3317-3339 ◽  
Author(s):  
Frank Arthur ◽  
◽  
Xiaodong Yan ◽  
Mingfeng Zhao
Keyword(s):  
Type Theorem ◽  
Elliptic Systems ◽  
Higher Order ◽  
Liouville Type ◽  
Liouville Type Theorem

scholarly journals Liouville-type theorem for higher-order Hardy-Hénon system

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Kui Li ◽  
Zhitao Zhang
Keyword(s):  
Elliptic System ◽  
Type Theorem ◽  
Elliptic Systems ◽  
Higher Order ◽  
Liouville Type ◽  
Liouville Type Theorem ◽  
Integral System ◽  
Moving Planes ◽  
Polyharmonic System ◽  
Moving Spheres

<p style='text-indent:20px;'>In this paper, we study higher-order Hardy-Hénon elliptic systems with weights. We first prove a new theorem on regularities of the positive solutions at the origin, then study equivalence between the higher-order Hardy-Hénon elliptic system and a proper integral system, and we obtain a new and interesting Liouville-type theorem by methods of moving planes and moving spheres for integral system. We also use this Liouville-type theorem to prove the Hénon-Lane-Emden conjecture for polyharmonic system under some conditions.</p>

Sign in / Sign up

Export Citation Format

Share Document