Philipp Kniefacz,Franz E Schuster
Philipp Kniefacz
A family of sharp L p Sobolev inequalities is established by averaging the length of i-dimensional projections of the gradient of a function. Moreover, it is shown that each of these new inequalities directly implies the classical L p Sob...
Degenerate Elastic Networks [0.03%]
退化的弹性网络
Giacomo Del Nin,Alessandra Pluda,Marco Pozzetta
Giacomo Del Nin
We minimize a linear combination of the length and the L 2 -norm of the curvature among networks in R d belonging to a given class determined by the number of curves, the order of the junctions, and the angles between curves at the junct...
David Nicolas Nenning,Armin Rainer,Gerhard Schindl
David Nicolas Nenning
A remarkable theorem of Joris states that a function f is C ∞ if two relatively prime powers of f are C ∞ . Recently, Thilliez showed that an analogous theorem holds in Denjoy-Carleman classes of Roumieu type. We prove that a ...
Sharp Cheeger-Buser Type Inequalities in [Formula: see text] Spaces [0.03%]
带公式空间中的Sharp Cheeger-Buser型不等式
Nicolò De Ponti,Andrea Mondino
Nicolò De Ponti
The goal of the paper is to sharpen and generalise bounds involving Cheeger's isoperimetric constant h and the first eigenvalue λ 1 of the Laplacian. A celebrated lower bound of λ 1 in terms of h, λ 1 ≥ h 2 / 4 , wa...
Michael Reiter
Michael Reiter
The reflection map introduced by D'Angelo is applied to deduce simpler descriptions of nondegeneracy conditions for sphere maps and to the study of infinitesimal deformations of sphere maps. It is shown that the dimension of the space of in...
A Phragmén-Lindelöf Theorem via Proximate Orders, and the Propagation of Asymptotics [0.03%]
利用近阶的Phragmén-Lindelöf定理及渐近性质的传播性
Javier Jiménez-Garrido,Javier Sanz,Gerhard Schindl
Javier Jiménez-Garrido
We prove that, for asymptotically bounded holomorphic functions in a sector in C , an asymptotic expansion in a single direction towards the vertex with constraints in terms of a logarithmically convex sequence admitting a nonzero proximat...
Stefan Fürdös
Stefan Fürdös
In this article, the notion of ultradifferentiable CR manifold is introduced and an ultradifferentiable regularity result for finitely nondegenerate CR mappings is proven. Here, ultradifferentiable means with respect to Denjoy-Carleman clas...
Shantanu Dave,Stefan Haller
Shantanu Dave
The short-time heat kernel expansion of elliptic operators provides a link between local and global features of classical geometries. For many geometric structures related to (non-)involutive distributions, the natural differential operator...
Volker Branding
Volker Branding
Motivated from the action functional for bosonic strings with extrinsic curvature term we introduce an action functional for maps between Riemannian manifolds that interpolates between the actions for harmonic and biharmonic maps. Critical ...
Clara L Aldana,Julie Rowlett
Clara L Aldana
We consider finite area convex Euclidean circular sectors. We prove a variational Polyakov formula which shows how the zeta-regularized determinant of the Laplacian varies with respect to the opening angle. Varying the angle corresponds to ...