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Lyudmila Korobenko

University of Calgary

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Publication

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arXiv: Analysis of PDEs | 2015

From Sobolev inequality to doubling

Lyudmila Korobenko; Diego Maldonado; Cristian Rios

In various analytical contexts, it is proved that a weak Sobolev inequality implies a doubling property for the underlying measure.

Journal of Mathematical Analysis and Applications | 2013

Persistence and extinction in spatial models with a carrying capacity driven diffusion and harvesting

Lyudmila Korobenko; Md. Kamrujjaman; Elena Braverman

arXiv: Classical Analysis and ODEs | 2015

Local boundedness, maximum principles, and continuity of solutions to infinitely degenerate elliptic equations

Lyudmila Korobenko; Cristian Rios; Eric T. Sawyer; Ruipeng Shen

arXiv: Analysis of PDEs | 2014

Regularity of Solutions to Degenerate Non-Doubling Second Order Equations

Lyudmila Korobenko; Cristian Rios

arXiv: Analysis of PDEs | 2017

Holder continuity of weak solutions to rough infinitely degenerate equations

Lyudmila Korobenko; Cristian Rios; Eric T. Sawyer; Ruipeng Shen

Archive | 2017

Hypoellipticity without loss of derivatives for Fedii's type operators

Timur Akhunov; Lyudmila Korobenko; Cristian Rios

arXiv: Classical Analysis and ODEs | 2016

Sharp local boundedness and maximum principle in the infinitely degenerate regime via DeGiorgi iteration

Lyudmila Korobenko; Cristian Rios; Eric T. Sawyer; Ruipeng Shen

arXiv: Classical Analysis and ODEs | 2015

Sobolev inequalities for infinitely degenerate metrics and local boundedness and continuity of solutions to associated equations

Lyudmila Korobenko; Cristian Rios; Eric T. Sawyer; Ruipeng Shen

Journal of Mathematical Analysis and Applications | 2014

Hypoellipticity of certain infinitely degenerate second order operators

Lyudmila Korobenko; Cristian Rios

arXiv: Analysis of PDEs | 2013

Regularity of solutions to quasilinear infinitely degenerate second order equations

Lyudmila Korobenko; Cristian Rios

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Cristian Rios

University of Calgary

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Eric T. Sawyer

McMaster University

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Elena Braverman

University of Calgary

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Md. Kamrujjaman

University of Calgary

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Diego Maldonado

Kansas State University

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