Results 161 to 170 of about 81,140 (282)

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

open access: yesCommunications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation

open access: yesCommunications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1783-1842, September 2025.
Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley   +1 more source

Enumeration and Construction of Row‐Column Designs

open access: yesJournal of Combinatorial Designs, Volume 33, Issue 9, Page 357-372, September 2025.
ABSTRACT We computationally completely enumerate a number of types of row‐column designs up to isotopism, including double, sesqui, and triple arrays as known from the literature, and two newly introduced types that we call mono arrays and AO‐arrays. We calculate autotopism group sizes for the designs we generate.
Gerold Jäger   +3 more
wiley   +1 more source

Weighted Turán Theorems With Applications to Ramsey‐Turán Type of Problems

open access: yesJournal of Graph Theory, Volume 110, Issue 1, Page 59-71, September 2025.
ABSTRACT We study extensions of Turán Theorem in edge‐weighted settings. A particular case of interest is when constraints on the weight of an edge come from the order of the largest clique containing it. These problems are motivated by Ramsey‐Turán type problems.
József Balogh   +2 more
wiley   +1 more source

The Generic Circular Triangle‐Free Graph

open access: yesJournal of Graph Theory, Volume 109, Issue 4, Page 426-445, August 2025.
ABSTRACT In this article, we introduce the generic circular triangle‐free graph C 3 and propose a finite axiomatization of its first‐order theory. In particular, our main results show that a countable graph G embeds into C 3 if and only if it is a { K 3 , K 1 + 2 K 2 , K 1 + C 5 , C 6 }‐free graph.
Manuel Bodirsky, Santiago Guzmán‐Pro
wiley   +1 more source

On Weak Generalized Amenability of Triangular Banach Algebras

open access: yesJournal of Mathematical Extension, 2014
Let A1, A2 be unital Banach algebras and X be an A1 − A2− module. Applying the concept of module maps, (inner) module generalized derivations and generalized first cohomology groups, we present several results concerning the relations between module ...
M. Mosadeq
doaj  

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