Dirichlet problems for generalized Cauchy–Riemann systems with singular coefficients

Complex Variables Theory and Application An International Journal ◽

10.1080/02781070500087196 ◽

2005 ◽

Vol 50 (7-11) ◽

pp. 653-672 ◽

Author(s):

Michael Reissig ◽

Alexei Timofeev

Keyword(s):

Dirichlet Problems ◽

Singular Coefficients ◽

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Integral Representations for a Generalized Cauchy–Riemann System with Singular Coefficients

Journal of Mathematical Sciences ◽

10.1007/s10958-015-2442-1 ◽

2015 ◽

Vol 208 (2) ◽

pp. 247-252 ◽

Author(s):

A. B. Rasulov

Keyword(s):

Integral Representations ◽

Singular Coefficients ◽

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Solutions for p(x)-Laplacian Dirichlet problems with singular coefficients

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.03.057 ◽

2005 ◽

Vol 312 (2) ◽

pp. 464-477 ◽

Author(s):

Xianling Fan

Keyword(s):

Dirichlet Problems ◽

Singular Coefficients

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On a class of nonlinear generalized Cauchy–Riemann systems with singular coefficients

Differential Equations ◽

10.1134/s0012266115090141 ◽

2015 ◽

Vol 51 (9) ◽

pp. 1243-1247

Author(s):

B. Sharipov

Keyword(s):

Singular Coefficients ◽

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Backward Stochastic Differential Equations and Dirichlet Problems of Semilinear Elliptic Operators with Singular Coefficients

Potential Analysis ◽

10.1007/s11118-017-9654-6 ◽

2017 ◽

Vol 49 (2) ◽

pp. 225-245

Author(s):

Saisai Yang ◽

Tusheng Zhang

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Backward Stochastic Differential Equations ◽

Elliptic Operators ◽

Dirichlet Problems ◽

Semilinear Elliptic ◽

Singular Coefficients

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A probabilistic approach to Dirichlet problems of semilinear elliptic PDEs with singular coefficients

The Annals of Probability ◽

10.1214/10-aop591 ◽

2011 ◽

Vol 39 (4) ◽

pp. 1502-1527 ◽

Author(s):

Tusheng Zhang

Keyword(s):

Probabilistic Approach ◽

Elliptic Pdes ◽

Dirichlet Problems ◽

Semilinear Elliptic ◽

Singular Coefficients ◽

Semilinear Elliptic Pdes

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Boundary value problem for a generalized Cauchy–Riemann equation with singular coefficients

Differential Equations ◽

10.1134/s0012266116050086 ◽

2016 ◽

Vol 52 (5) ◽

pp. 616-629 ◽

Author(s):

A. B. Rasulov ◽

A. P. Soldatov

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Riemann Equation ◽

Singular Coefficients ◽

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NONEXISTENCE RESULTS AND EXISTENCE THEOREMS OF POSITIVE SOLUTIONS OF DIRICHLET PROBLEMS FOR A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS OF SECOND ORDER

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30454-5 ◽

1987 ◽

Vol 7 (3) ◽

pp. 299-309

Author(s):

Chen Baoyao

Keyword(s):

Positive Solutions ◽

Existence Theorems ◽

Elliptic Systems ◽

Second Order ◽

Dirichlet Problems ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic

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SOME BOUNDARY VALUE PROBLEMS FOR THE CAUCHY-RIEMANN EQUATION IN HALF LENS

Eurasian Mathematical Journal ◽

10.32523/2077-9879-2018-9-3-73-84 ◽

2018 ◽

Vol 9 (3) ◽

pp. 73-84

Author(s):

N. Taghizadeh ◽

◽

V. Soltani Mohammadi ◽

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Riemann Equation ◽

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Heat kernel asymptotics, local index theorem and trace integrals for Cauchy-Riemann manifolds with S1 action

Mémoires de la Société mathématique de France ◽

10.24033/msmf.470 ◽

2019 ◽

Vol 162 ◽

pp. 1-140 ◽

Author(s):

Jin-Hsin Cheng ◽

Chin-Yu Hsiao ◽

I-Hsun Tsai

Keyword(s):

Heat Kernel ◽

Index Theorem ◽

Local Index ◽

Riemann Manifolds ◽

Heat Kernel Asymptotics ◽

Local Index Theorem ◽

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Singularly Perturbed Cauchy–Riemann Equation with a Singularity in the Lower Coefficient

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542520100127 ◽

2020 ◽

Vol 60 (10) ◽

pp. 1701-1707

Author(s):

A. B. Rasulov ◽

Yu. S. Fedorov

Keyword(s):

Singularly Perturbed ◽

Riemann Equation ◽

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