Partial Regularity of Solutions to Model Venttsel Problem for Quasilinear Elliptic Systems of Equations with Quadratic Nonlinearity Relative to the Gradient
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2579-y |2 doi |
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| 100 | 1 | |a Arkhipova |D A. |u St. Petersburg State University, 28, Universitetskii pr., Petrodvorets, 198504, St. Petersburg, Russia |4 aut | |
| 245 | 1 | 0 | |a Partial Regularity of Solutions to Model Venttsel Problem for Quasilinear Elliptic Systems of Equations with Quadratic Nonlinearity Relative to the Gradient |h [Elektronische Daten] |c [A. Arkhipova] |
| 520 | 3 | |a We consider the model Venttsel boundary value problem for quasilinear elliptic systems of equations with the Venttsel boundary condition. Using the method of A-harmonic approximation, we prove the partial regularity of a weak solution to the problem in a neighborhood of the plane part of the boundary. Preliminarily, we describe a condition guaranteeing the local Hölder continuity of the solution along this boundary part. We prove the Hölder continuity of the solution in a neighborhood of a boundary point and describe a possible singular set of solutions. Bibliography: 10 titles. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 210/5(2015-11-01), 571-589 |x 1072-3374 |q 210:5<571 |1 2015 |2 210 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2579-y |q text/html |z Onlinezugriff via DOI |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2579-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Arkhipova |D A. |u St. Petersburg State University, 28, Universitetskii pr., Petrodvorets, 198504, St. Petersburg, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 210/5(2015-11-01), 571-589 |x 1072-3374 |q 210:5<571 |1 2015 |2 210 |o 10958 | ||