Optimal partial regularity for sub-elliptic systems with sub-quadratic growth in Carnot groups

Jialin Wang; Dongni Liao

doi:10.1016/j.na.2011.10.045

Optimal partial regularity for sub-elliptic systems with sub-quadratic growth in Carnot groups

Nonlinear Analysis ◽

10.1016/j.na.2011.10.045 ◽

2012 ◽

Vol 75 (4) ◽

pp. 2499-2519 ◽

Cited By ~ 8

Author(s):

Jialin Wang ◽

Dongni Liao

Keyword(s):

Partial Regularity ◽

Elliptic Systems ◽

Quadratic Growth ◽

Carnot Groups ◽

Optimal Partial Regularity

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Optimal partial regularity results for nonlinear elliptic systems in Carnot groups

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2013.33.3391 ◽

2013 ◽

Vol 33 (8) ◽

pp. 3391-3405 ◽

Cited By ~ 1

Author(s):

Shuhong Chen ◽

Zhong Tan

Keyword(s):

Partial Regularity ◽

Elliptic Systems ◽

Carnot Groups ◽

Nonlinear Elliptic Systems ◽

Nonlinear Elliptic ◽

Regularity Results ◽

Optimal Partial Regularity

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Optimal partial regularity for weak solutions of nonlinear sub-elliptic systems in Carnot groups

Nonlinear Analysis ◽

10.1016/j.na.2010.01.048 ◽

2010 ◽

Vol 72 (11) ◽

pp. 4162-4187 ◽

Cited By ~ 18

Author(s):

Jialin Wang ◽

Pengcheng Niu

Keyword(s):

Weak Solutions ◽

Partial Regularity ◽

Elliptic Systems ◽

Carnot Groups ◽

Optimal Partial Regularity

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Optimal partial regularity for nonlinear sub-elliptic systems with Dini continuous coefficients in Carnot groups

Boundary Value Problems ◽

10.1186/s13661-016-0525-7 ◽

2016 ◽

Vol 2016 (1) ◽

Cited By ~ 1

Author(s):

Jialin Wang ◽

Dongni Liao

Keyword(s):

Partial Regularity ◽

Elliptic Systems ◽

Carnot Groups ◽

Optimal Partial Regularity

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Optimal partial regularity for sub-elliptic systems related to Hörmander’s vector fields: the controllable growth case

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas ◽

10.1007/s13398-013-0116-8 ◽

2013 ◽

Vol 108 (2) ◽

pp. 441-463 ◽

Cited By ~ 2

Author(s):

Jialin Wang

Keyword(s):

Partial Regularity ◽

Vector Fields ◽

Elliptic Systems ◽

Controllable Growth ◽

Optimal Partial Regularity

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Optimal partial regularity of second order nonlinear elliptic systems with Dini continuous coefficients for the superquadratic case

Nonlinear Analysis ◽

10.1016/j.na.2012.01.016 ◽

2012 ◽

Vol 75 (8) ◽

pp. 3574-3590 ◽

Cited By ~ 10

Author(s):

Yalin Qiu

Keyword(s):

Partial Regularity ◽

Elliptic Systems ◽

Second Order ◽

Nonlinear Elliptic Systems ◽

Nonlinear Elliptic ◽

Optimal Partial Regularity

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OPTIMAL PARTIAL REGULARITY FOR NONLINEAR SUB-ELLIPTIC SYSTEMS RELATED TO HÖRMANDER' S VECTOR FIELDS

Kyushu Journal of Mathematics ◽

10.2206/kyushujm.65.251 ◽

2011 ◽

Vol 65 (2) ◽

pp. 251-277 ◽

Cited By ~ 2

Author(s):

Jialin WANG ◽

Dongni LIAO

Keyword(s):

Partial Regularity ◽

Vector Fields ◽

Elliptic Systems ◽

Optimal Partial Regularity

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Optimal partial regularity for sub-elliptic systems with Dini continuous coefficients under the superquadratic natural growth

Nonlinear Analysis ◽

10.1016/j.na.2014.10.028 ◽

2015 ◽

Vol 114 ◽

pp. 13-25 ◽

Cited By ~ 7

Author(s):

Jialin Wang ◽

Dongni Liao ◽

Shujing Gao ◽

Zefeng Yu

Keyword(s):

Partial Regularity ◽

Elliptic Systems ◽

Natural Growth ◽

Optimal Partial Regularity

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C1-partial regularity for sub-elliptic systems with Dini continuous coefficients in Carnot groups

Nonlinear Analysis ◽

10.1016/j.na.2017.12.010 ◽

2018 ◽

Vol 169 ◽

pp. 242-264 ◽

Cited By ~ 1

Author(s):

Jialin Wang ◽

Qiang Liao ◽

Dongni Liao ◽

Shujin Gao ◽

Shaohui Gui ◽

...

Keyword(s):

Partial Regularity ◽

Elliptic Systems ◽

Carnot Groups

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Optimal partial regularity for nonlinear sub-elliptic systems

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.08.080 ◽

2012 ◽

Vol 387 (1) ◽

pp. 166-180 ◽

Cited By ~ 8

Author(s):

Shuhong Chen ◽

Zhong Tan

Keyword(s):

Partial Regularity ◽

Elliptic Systems ◽

Optimal Partial Regularity

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Partial regularity for sub-elliptic systems with Dini continuous coefficients involving natural growth terms in the Heisenberg group

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.11.002 ◽

2014 ◽

Vol 412 (2) ◽

pp. 828-840

Author(s):

Dongni Liao ◽

Jialin Wang ◽

Zefeng Yu

Keyword(s):

Heisenberg Group ◽

Partial Regularity ◽

Elliptic Systems ◽

Natural Growth ◽

Natural Growth Terms

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