Zobrazeno 1 - 10
of 240
pro vyhledávání: '"Iwaniec, Tadeusz"'
The concept of complex harmonic potential in a doubly connected condenser (capacitor) is introduced as an analogue of the real-valued potential of an electrostatic vector field. In this analogy the full differential of a complex potential plays the r
Externí odkaz:
http://arxiv.org/abs/2409.16476
We survey a number of recent developments in geometric analysis as they pertain to the calculus of variations and extremal problems in geometric function theory following the NZMRI lectures given by the first author at those workshops in Napier in 19
Externí odkaz:
http://arxiv.org/abs/2107.09792
This article is about hyperelastic deformations of plates (planar domains) which minimize a neohookean type energy. Particularly, we investigate a stored energy functional introduced by J.M. Ball in his seminal paper "Global invertibility of Sobolev
Externí odkaz:
http://arxiv.org/abs/2004.03381
Autor:
Iwaniec, Tadeusz, Onninen, Jani
We are concerned with the Dirichlet energy of mappings defined on domains in the complex plane. The motivation behind our questions, however, comes from more general energy integrals of mathematical models of Hyperelasticity. The Dirichlet Principle,
Externí odkaz:
http://arxiv.org/abs/2004.00782
We study planar domains with exemplary boundary singularities of the form of cusps. A natural question is how much elastic energy is needed to flatten these cusps; that is, to remove singularities. We give, in a connection of quasidisks, a sharp inte
Externí odkaz:
http://arxiv.org/abs/1909.01573
Mappingsofbi-conformalenergyformthewidestclass of homeomorphisms that one can hope to build a viable extension of Geometric Function Theory with connections to mathematical models of Nonlinear Elasticity. Such mappings are exactly the ones with finit
Externí odkaz:
http://arxiv.org/abs/1907.06461
The concept of hyperelastic deformations of bi-conformal energy is developed as an extension of quasiconformality. These are homeomorphisms $h:X \to Y$ between domains $ X, Y \subset \mathbb R^n$ of the Sobolev class $W^{1,n}_{loc} (X, Y)$ whose inve
Externí odkaz:
http://arxiv.org/abs/1904.03793
Autor:
Iwaniec, Tadeusz, Onninen, Jani
The present paper introduces the concept of monotone Hopf-harmonics in $2D$ as an alternative to harmonic homeomorphisms. It opens a new area of study in Geometric Function Theory (GFT). Much of the foregoing is motivated by the principle of non-inte
Externí odkaz:
http://arxiv.org/abs/1812.02811