On Quasilinear Beltrami-Type Equations with Degeneration
Zhytomyr State University Library
Переглянути архів Інформація| Поле | Співвідношення | |
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http://eprints.zu.edu.ua/13993/
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| Title |
On Quasilinear Beltrami-Type Equations with Degeneration |
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| Creator |
Sevost’yanov, Е. А.
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| Subject |
Mathematical Analysis
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| Description |
Abstract—We consider the solvability problem for the equation fz = ν(z, f(z))fz, where the function ν(z,w) of two variables may be close to unity. Such equations are called quasilinear Beltrami-type equations with ellipticity degeneration. We prove that, under some rather general conditions on ν(z,w), the above equation has a regular homeomorphic solution in the Sobolev classW1,1 loc . Moreover, such solutions f satisfy the inclusion f −1 ∈ W1,2 loc . |
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| Date |
2011
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| Type |
Article
PeerReviewed |
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| Format |
text
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| Language |
uk
english |
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| Identifier |
http://eprints.zu.edu.ua/13993/1/MTN431.pdf
Sevost’yanov, Е. А. (2011) On Quasilinear Beltrami-Type Equations with Degeneration. Mathematical Notes, 90 (9). pp. 431-438. ISSN 0001-4346 |
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