Integral conditions in the theory of the Beltrami equations

By V. Ryazanov, U. Srebro, E. Yakubov. 2010

67 citations recorded by the source corpus.

It is shown that many recent and new results regarding the existence of ACL homeomorphic solutions for degenerate Beltrami equations with integral constraints follow from our extension of the well-known Lehto existence theorem.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b7ade103365c8655211cd2a3dd9c45d1759bcec5

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In Applied Mathematics

1. V. Ryazanov
2. E. Yakubov
3. U. Srebro
4. E. Sevost’yanov
5. V. Gutlyanskiĭ
6. D. Kovtonyuk
7. Pekka Koskela
8. M. Cristea

In Geometry and Topology

1. V. Ryazanov
2. E. Yakubov
3. U. Srebro
4. E. Sevost’yanov
5. D. Kovtonyuk
6. V. Gutlyanskiĭ
7. Ruslan Salimov
8. M. Cristea

Citations in the corpus

• On integral conditions in the mapping theory (2010, background): “…the condition Recently it was established that the conditions (2.12)–(2.16) are not only sufficient but also necessary for the degenerate Beltrami equations with integral constraints of the type (3.21) on their characteristics to have homeomorphic solutions of the class W 1 , 1 loc , see [5,7,9,24].”