2026
On the Necessity of Logarithmic Estimates for Hypoellipticity
Timur Akhunov,
Lyudmila Korobenko
· submitted
arXiv
2025
Regularity for infinitely degenerate inhomogeneous elliptic equations, part I: the Moser method
Lyudmila Korobenko,
Cristian Rios,
Eric Sawyer,
Ruipeng Shen
· Nonlinear Analysis 261 (2025), 113888
arXiv
2025
Degenerate elliptic equations with Φ-admissible weights
Lyudmila Korobenko
· to appear in J. Anal. Math.
arXiv
2025
Carnot-Carathéodory metrics associated to degenerate elliptic operators in three dimensions
Florian Meister,
Olive Ross,
Lyudmila Korobenko
· Ann. Func. Anal. 17, No. 2 (2026), 1-28
arXiv
2024
Necessity of a logarithmic estimate for hypoellipticity of some degenerately elliptic operators
Timur Akhunov,
Lyudmila Korobenko
· J. Math. Anal. Appl. 531 (2024), No. 1, 127744
arXiv
2024
Weighted 1-dimensional Orlicz-Poincaré inequalities
Lyudmila Korobenko,
Olly Milshtein,
Lucas Yong
· J. Math. Anal. Appl. 530 (2024), No. 1, 127649
arXiv
2023
Sums of squares I: scalar functions
Lyudmila Korobenko,
Eric T. Sawyer
· J. Funct. Anal. 284 (2023), 109827
PDF
arXiv
2023
Sums of squares II: matrix functions
Lyudmila Korobenko,
Eric T. Sawyer
· Linear Algebra Appl. 664 (2023), 264–313
PDF
arXiv
2023
Sums of squares III: hypoellipticity in the infinitely degenerate regime
Lyudmila Korobenko,
Eric T. Sawyer
· Linear Algebra Appl. 664 (2023), 264-313
PDF
arXiv
2021
Local boundedness, maximum principles, and continuity of solutions to infinitely degenerate elliptic equations with rough coefficients
Lyudmila Korobenko,
Cristian Rios,
Eric Sawyer,
Ruipeng Shen
· Memoirs of the AMS 269 (2021), No. 1311
PDF
arXiv
2021
Continuity of infinitely degenerate weak solutions via the trace method
Lyudmila Korobenko,
Eric T. Sawyer
· J. Funct. Anal. 281 (9) (2021), 109–170
PDF
arXiv
2021
Orlicz Sobolev inequalities and the Dirichlet problem for infinitely degenerate elliptic operators
Usman Hafeez,
Théo Lavier,
Lucas Williams,
Lyudmila Korobenko
· Electron. J. Differential Equations, Vol. 2021 (2021), No. 82, 1–19
PDF
arXiv
2021
Orlicz Sobolev inequalities and the doubling condition
Lyudmila Korobenko
· Annales Fennici Mathematici 46 (1) (2021), 153–161
PDF
arXiv
2019
Hypoellipticity for Fedii's type operators under Morimoto's logarithmic condition
Timur Akhunov,
Lyudmila Korobenko,
Cristian Rios
· J. Pseudo-Differ. Oper. Appl. 10 (3) (2019), 649–688
arXiv
2019
A variation of Merton's corporate bond valuation model for firms with illiquid but observable assets
Juan Dong,
Lyudmila Korobenko,
Deniz Sezer
· Quantitative Finance (2019)
PDF
arXiv
DOI
2015
Local boundedness, maximum principles, and continuity of solutions to infinitely degenerate elliptic equations
Lyudmila Korobenko,
Cristian Rios,
Eric Sawyer,
Ruipeng Shen
· preprint
PDF
arXiv
2015
From Sobolev inequality to doubling
Lyudmila Korobenko,
Diego Maldonado,
Cristian Rios
· Proceedings of the AMS 143 (9) (2015), 4017–4028
PDF
arXiv
2014
On evolutionary stability of carrying capacity driven dispersal in competition with regularly diffusing populations
Lyudmila Korobenko,
Elena Braverman
· Journal of Mathematical Biology 69 (5) (2014), 1181–1206
PDF
2014
Regularity of solutions to degenerate non-doubling second order equations
Lyudmila Korobenko,
Cristian Rios
PDF
arXiv
2014
Hypoellipticity of certain infinitely degenerate second order operators
Lyudmila Korobenko,
Cristian Rios
· J. Math. Anal. Appl. 409 (1) (2014), 41–55
PDF
arXiv
2013
Persistence and extinction in spatial models with carrying capacity driven diffusion and harvesting
Lyudmila Korobenko,
Md. Kamrujjaman,
Elena Braverman
· J. Math. Anal. Appl. 399 (1) (2013), 352–368
PDF
2012
On logistic models with a carrying capacity dependent diffusion: stability of equilibria and coexistence with a regularly diffusing population
Lyudmila Korobenko,
Elena Braverman
· Nonlinear Analysis: Real World Applications 13 (6) (2012), 2648–2658
PDF
2011
On permanence and stability of a logistic model with harvesting and a carrying capacity dependent diffusion
Lyudmila Korobenko,
Elena Braverman
· Journal of Nonlinear Systems and Applications 2 (1-2) (2011), 9–15
PDF
2011
IMUS Lecture Notes on Harmonic Analysis, Metric Spaces and PDEs
Lucas Chaffee,
Taylor Dupuy,
Rafael Espínola,
Jarod Hart,
Anna Kairema,
Lyudmila Korobenko (eds.)
· Seville 2011 lecture notes
PDF
2010
ODE analysis of a cancer pathway
Matt Hennessy,
Lyudmila Korobenko,
Iain Moyles
· Report, 9th Annual PIMS IPSW, University of Calgary
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2009
Dynamics of a large ocean vessel
Matt Hennessy,
Lyudmila Korobenko,
Iain Moyles
· Report, 9th Annual PIMS GIMMIC, University of Calgary
PDF
2009
Formulation and well-posedness of the Cauchy problem for a diffusion equation with discontinuous degenerating coefficients
Lyudmila Korobenko,
Vsevolod Zh. Sakbaev
· Comput. Math. Math. Phys. 49 (6) (2009), 1037–1053
PDF
2009
A logistic model with a carrying capacity driven diffusion
Lyudmila Korobenko,
Elena Braverman
· Can. Appl. Math. Quart. 17 (2009), 85–100
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2008
On a description of a diffusion phenomena in discontinuous medium
Lyudmila Korobenko
· Some Problems of Fundamental and Applied Mathematics (2008), 34–49 [in Russian]
PDF
2006
Solution of the diffusion equation with discontinuous coefficient on a real line
Lyudmila Korobenko,
Vsevolod Zh. Sakbaev
· Some Problems of Fundamental and Applied Mathematics (2006), 71–85 [in Russian]
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