Mappings of Finite Distortion:¶Discreteness and Openness

By Janne Kauhanen, Pekka Koskela, Jan Maly. 2001

95 citations recorded by the source corpus.

Subfields: Geometry and Topology, Immunology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/275e54844dd4c385fec08b3fe175d5a1244b661e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Pekka Koskela
2. Jani Onninen
3. Jan Maly
4. Tadeusz Iwaniec
5. V. Ryazanov
6. E. Sevost’yanov
7. Janne Kauhanen
8. Xiao Zhong

In Immunology

1. Pekka Koskela
2. V. Ryazanov
3. E. Sevost’yanov
4. Jani Onninen
5. Jan Maly

In Statistical and Nonlinear Physics

1. Pekka Koskela
2. V. Ryazanov
3. Jani Onninen
4. E. Sevost’yanov
5. Jan Maly
6. Dachun Yang

Citations in the corpus

• Toward the theory of ring Q-homeomophisms (2008, methodology): “The theory of ring Q-homeomorphisms is applicable to various classes of mappings with finite distortion, intensively investigated in many recent works, see, e.g., [3], [8], [12], [15], [16], [ 19 ], [20], [21], [25], [28] and [29].”
• Mappings of finite distortion: Capacity and modulus inequalities (2006, background): “5] (also see [12], [13]) and [15, Theorem 1.”
• Mappings of finite distortion: Sharp Orlicz-conditions (2003, methodology): “1 were established in [6], [9] and [10] for Ψ(t) = λt, λ > 0.”
• Hyperelastic Deformations of Smallest Total Energy (2009, background): “onto −→ Y of finite distortion [29,37, 38 ]. While in this article we have little to do with the advanced aspects of nonlinear elasticity, adopting its general ideas is almost indispensable.”
• Mappings of finite distortion: The zero set of the Jacobian (2003, methodology): “For this we recall the mapping constructed in [17] as a refinement of the example in [15]: under the assumptions of Theorem 1.”