Local Regularity of Weak Solutions to Quasilinear Elliptic Systems with One-Sided Condition on Quadratic Nonlinearity in the Gradient

Journal of Mathematical Sciences ◽

10.1007/s10958-021-05380-9 ◽

2021 ◽

Author(s):

A. A. Arkhipova

Keyword(s):

Weak Solutions ◽

Elliptic Systems ◽

Quadratic Nonlinearity ◽

Local Regularity ◽

Quasilinear Elliptic Systems ◽

Regularity Of Weak Solutions ◽

Quasilinear Elliptic

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Partial Regularity of Weak Solutions to the Model Venttsel Problem for Quasilinear Elliptic Systems of Equations. Method of A-Harmonic Approximation

Journal of Mathematical Sciences ◽

10.1007/s10958-014-1817-z ◽

2014 ◽

Vol 198 (6) ◽

pp. 655-676 ◽

Author(s):

A. A. Arkhipova

Keyword(s):

Weak Solutions ◽

Partial Regularity ◽

Harmonic Approximation ◽

Elliptic Systems ◽

Systems Of Equations ◽

Quasilinear Elliptic Systems ◽

Regularity Of Weak Solutions ◽

Venttsel Problem ◽

Quasilinear Elliptic

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On the regularity of solutions of boundary-value problem for quasilinear elliptic systems with quadratic nonlinearity

Journal of Mathematical Sciences ◽

10.1007/bf02362383 ◽

1996 ◽

Vol 80 (6) ◽

pp. 2208-2225 ◽

Author(s):

A. A. Arkhipova

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Elliptic Systems ◽

Quadratic Nonlinearity ◽

Regularity Of Solutions ◽

Quasilinear Elliptic Systems ◽

Quasilinear Elliptic

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On positive weak solutions for a class of quasilinear elliptic systems

Nonlinear Analysis ◽

10.1016/j.na.2005.04.007 ◽

2005 ◽

Vol 62 (4) ◽

pp. 751-756 ◽

Author(s):

Caisheng Chen

Keyword(s):

Weak Solutions ◽

Elliptic Systems ◽

Quasilinear Elliptic Systems ◽

Quasilinear Elliptic

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Partial Regularity of Solutions to Model Venttsel Problem for Quasilinear Elliptic Systems of Equations with Quadratic Nonlinearity Relative to the Gradient

Journal of Mathematical Sciences ◽

10.1007/s10958-015-2579-y ◽

2015 ◽

Vol 210 (5) ◽

pp. 571-589 ◽

Author(s):

A. A. Arkhipova

Keyword(s):

Partial Regularity ◽

Elliptic Systems ◽

Quadratic Nonlinearity ◽

Regularity Of Solutions ◽

Systems Of Equations ◽

Quasilinear Elliptic Systems ◽

Venttsel Problem ◽

Quasilinear Elliptic

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Removable singularities for weak solutions of quasilinear elliptic systems.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1983.344.87 ◽

1983 ◽

Vol 1983 (344) ◽

pp. 87-101 ◽

Keyword(s):

Weak Solutions ◽

Elliptic Systems ◽

Removable Singularities ◽

Quasilinear Elliptic Systems ◽

Quasilinear Elliptic

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Boundedness and integrability properties of weak solutions of quasilinear elliptic systems.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1982.333.191 ◽

1982 ◽

Vol 1982 (333) ◽

pp. 191-220 ◽

Keyword(s):

Weak Solutions ◽

Elliptic Systems ◽

Quasilinear Elliptic Systems ◽

Quasilinear Elliptic

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Weak solutions for singular quasilinear elliptic systems

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2016.1178731 ◽

2016 ◽

Vol 61 (10) ◽

pp. 1389-1408

Author(s):

Gurpreet Singh

Keyword(s):

Weak Solutions ◽

Elliptic Systems ◽

Quasilinear Elliptic Systems ◽

Quasilinear Elliptic

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Existence of weak solutions for a class of quasilinear elliptic systems

Boundary Value Problems ◽

10.1186/s13661-015-0455-9 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Zeng-Qi Ou ◽

Chun Li

Keyword(s):

Weak Solutions ◽

Elliptic Systems ◽

Existence Of Weak Solutions ◽

Quasilinear Elliptic Systems ◽

Quasilinear Elliptic

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Global a priori bounds for weak solutions of quasilinear elliptic systems with nonlinear boundary condition

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.123555 ◽

2020 ◽

Vol 482 (2) ◽

pp. 123555

Author(s):

Greta Marino ◽

Patrick Winkert

Keyword(s):

Boundary Condition ◽

Weak Solutions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

A Priori ◽

Elliptic Systems ◽

A Priori Bounds ◽

Quasilinear Elliptic Systems ◽

Quasilinear Elliptic

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Liouville Theorems, Partial Regularity and Holder Continuity of Weak Solutions to Quasilinear Elliptic Systems

Transactions of the American Mathematical Society ◽

10.2307/1999292 ◽

1984 ◽

Vol 284 (1) ◽

pp. 371

Author(s):

Michael Meier

Keyword(s):

Weak Solutions ◽

Partial Regularity ◽

Hölder Continuity ◽

Elliptic Systems ◽

Holder Continuity ◽

Liouville Theorems ◽

Quasilinear Elliptic Systems ◽

Quasilinear Elliptic

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