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

Michael Meier

doi:10.2307/1999292

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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Liouville theorems, partial regularity and Hölder continuity of weak solutions to quasilinear elliptic systems

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1984-0742430-x ◽

1984 ◽

Vol 284 (1) ◽

pp. 371-371

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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On Liouville theorem and Hölder continuity of weak solutions to some quasilinear elliptic systems of higher order

Mathematica Bohemica ◽

10.21136/mb.1992.126063 ◽

1992 ◽

Vol 117 (4) ◽

pp. 373-392

Author(s):

Lubomír Balanda ◽

Eugen Viszus

Keyword(s):

Weak Solutions ◽

Liouville Theorem ◽

Hölder Continuity ◽

Elliptic Systems ◽

Higher Order ◽

Holder Continuity ◽

Quasilinear Elliptic Systems ◽

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 ◽

Cited By ~ 2

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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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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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 ◽

Cited By ~ 33

Author(s):

Caisheng Chen

Keyword(s):

Weak Solutions ◽

Elliptic Systems ◽

Quasilinear Elliptic Systems ◽

Quasilinear Elliptic

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An alternative approach to partial regularity of quasilinear elliptic systems with VMO coefficients

Journal of Inequalities and Applications ◽

10.1186/s13660-015-0957-0 ◽

2016 ◽

Vol 2016 (1) ◽

Author(s):

Haiyan Yu ◽

Shenzhou Zheng ◽

Yuxia Tong

Keyword(s):

Partial Regularity ◽

Elliptic Systems ◽

Quasilinear Elliptic Systems ◽

Alternative Approach ◽

Vmo Coefficients ◽

Quasilinear Elliptic

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Estimates in Morrey Spaces and Hölder Continuity for Weak Solutions to Degenerate Elliptic Systems

manuscripta mathematica ◽

10.1007/s00229-011-0498-x ◽

2011 ◽

Vol 138 (3-4) ◽

pp. 419-437 ◽

Cited By ~ 6

Author(s):

Yan Dong ◽

Pengcheng Niu

Keyword(s):

Weak Solutions ◽

Hölder Continuity ◽

Elliptic Systems ◽

Morrey Spaces ◽

Holder Continuity ◽

Degenerate 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 ◽

Cited By ~ 1

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 ◽

Cited By ~ 2

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 ◽

Cited By ~ 2

Keyword(s):

Weak Solutions ◽

Elliptic Systems ◽

Quasilinear Elliptic Systems ◽

Quasilinear Elliptic

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