Results 81 to 90 of about 1,270,291 (205)
Quasiconformal mappings of $Y$-pieces
Revista Matemática Iberoamericana, 2002 In this paper we construct quasiconformal mappings between Y-pieces so that the corresponding Beltrami coefficient has exponential decay away from the boundary. These maps are used in a companion paper to construct quasiFuchsian groups whose limit sets are non-rectifiable curves of dimension 1.
openaire +4 more sources
Hölder continuity of harmonic quasiconformal mappings [PDF]
Journal of Inequalities and Applications, 2011 We prove that for harmonic quasiconformal mappings $ $-H lder continuity on the boundary implies $ $-H lder continuity of the map itself. Our result holds for the class of uniformly perfect bounded domains, in fact we can allow that a portion of the boundary is thin in the sense of capacity. The problem for general bounded domains remains open.
Arsenović, Miloš +2 more
openaire +5 more sources
In Vivo Microrheology Reveals Local Elastic and Plastic Responses Inside 3D Bacterial Biofilms
Advanced Materials, Volume 36, Issue 29, July 18, 2024.Bacterial biofilms are highly abundant 3D living materials capable of performing complex biomechanical and biochemical functions. A general method is developed to measure internal mechanical properties of biofilms in vivo with spatial resolution on the cellular scale, leading to the discovery that the elastic modulus inside biofilms correlates with the
Takuya Ohmura +5 more
wiley +1 more source
Some inequalities for the Hersch–Pfluger distortion function
Journal of Inequalities and Applications, 1999 The authors obtain some new functional inequalities for the Hersch–Pfluger distortion function in the theory of plane quasiconformal mappings, thus solving some recent conjectures.
Vamanamurthy MK, Vuorinen M, Qiu S-L
doaj
On distortion under mappings satisfying the inverse Poletsky inequality
Математичні СтудіїAs it is known, conformal mappings are locally Lipschitz at inner points of a domain, and quasiconformal (quasiregular) mappings are locally H ̈older continuous.
E. O. Sevost'yanov +3 more
doaj +1 more source
Quasiregular curves and cohomology
Proceedings of the London Mathematical Society, Volume 128, Issue 5, May 2024.Abstract Let N$N$ be a closed, connected, and oriented Riemannian manifold, which admits a quasiregular ω$\omega$‐curve Rn→N$\mathbb {R}^n \rightarrow N$ with infinite energy. We prove that, if the de Rham class of ω$\omega$ is nonzero and a finite sum of nontrivial products, then there exists a nontrivial graded algebra homomorphism HdR∗(N)→⋀∗Rn$H_ ...
Susanna Heikkilä
wiley +1 more source
On semilinear equations in the complex plane
Доповiдi Нацiональної академiї наук України, 2019 We study the Dirichlet problem for the semilinear partial differential equations div (A∇u) = f (u) in simply connected domains D of the complex plane C with continuous boundary data. We prove the existence of the weak solutions u in the class C ∩Wloc1,2 (
V.Ya. Gutlyanskiĭ +2 more
doaj +1 more source
Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional & Hilbert Modular Forms
Fortschritte der Physik, Volume 72, Issue 2, February 2024.Abstract The quantum degeneracies of Bogomolny‐Prasad‐Sommerfield (BPS) black holes of octonionic magical supergravity in five dimensions are studied. Quantum degeneracy is defined purely number theoretically as the number of distinct states in charge space with a given set of invariant labels.
Murat Günaydin, Abhiram Kidambi
wiley +1 more source
Геофизический журнал, 2019 The approach to the modeling of nonlinear displacement processes (one and two-phase filtration) in heterogeneous oil deformable layers is developed, taking into account the inverse effect of the potential of the velocity field and the flow function on ...
O. М. Hladka
doaj +1 more source
Quasiconformal mappings, from Ptolemy's geography to the work of Teichmüller
, 2018 The origin of quasiconformal mappings, like that of conformal mappings, can be traced back to old cartography where the basic problem was the search for mappings from the sphere onto the plane with minimal deviation from conformality, subject to certain ...
Papadopoulos, A.
core