Department of Mathematics | Indian Institute Of Technology Madras , Chennai

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Dr.Anoop T V

Associate Professor

044 - [22]-57 [46]-34

anoop

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KCB625

Linear and Nonlinear PDEs, Isoperimetric problems, weighted Sobolev inequalities.

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  1. On weighted Orlicz-Sobolev inequalities

    Author: Anoop, T. V. and Das, Ujjal and Roy, Subhajit

    Journal: Discrete Contin. Dyn. Syst.

    Volume: 44

    Page: 3177--3208

    DOI: https://doi.org/10.3934/dcds.2024055

    Year: 2024

  2. On the generalised Brezis-Nirenberg problem

    Author: Anoop, T. V. and Das, Ujjal

    Journal: NoDEA Nonlinear Differential Equations Appl.

    Volume: 30

    Page: Paper No. 4, 36

    DOI: https://doi.org/10.1007/s00030-022-00814-y

    Year: 2023

  3. Domain variations of the first eigenvalue via a strict Faber-Krahn type inequality

    Author: Anoop, T. V. and Ashok Kumar, K.

    Journal: Adv. Differential Equations

    Volume: 28

    Page: 537--568

    DOI: https://doi.org/10.57262/ade028-0708-537

    Year: 2023

  4. Szegö-Weinberger type inequalities for symmetric domains in simply connected space forms

    Author: Anoop, T. V. and Verma, Sheela

    Journal: J. Math. Anal. Appl.

    Volume: 515

    Page: Paper No. 126429, 16

    DOI: https://doi.org/10.1016/j.jmaa.2022.126429

    Year: 2022

  5. Szego-Weinberger Type Inequalities for Symmetric Domains with Holes

    Author: Anoop, T. V. and Bobkov, Vladimir and Drabek , Pavel

    Journal: SIAM Journal on Mathematical Analysis

    Volume: 54

    Page: 389-422

    DOI: 10.1137/21M1407227

    Year: 2022

  6. The compactness and the concentration compactness via p-capacity

    Author: T. V. Anoop and Ujjal Das

    Journal: Annali di Matematica Pura ed Applicata

    DOI: 10.1007/s10231-021-01098-2

    Year: 2021

  7. Admissible function spaces for weighted Sobolev inequalities

    Author: T.V. Anoop, Nirjan Biswas, Ujjal Das

    Journal: Communications on Pure and Applied Analysis

    Volume: 20(9)

    Page: 3259-3297

    DOI: 10.3934/cpaa.2021105

    Year: 2021

  8. On global bifurcation for the nonlinear Steklov problems

    Author: T V Anoop and Nirjan Biswas

    Journal: Topological Methods in Nonlinear Analysis

    Page: 1- 33

    DOI: 10.12775/TMNA.2020.080

    Year: 2021

  9. A shape variation result via the geometry of eigenfunctions

    Author: Anoop, T. V. and Ashok Kumar, K. and Kesavan, S.

    Journal: J. Differential Equations

    Volume: 298

    Page: 430-462

    DOI: 10.1016/j.jde.2021.07.001

    Year: 2021

  10. On reverse Faber-Krahn inequalities

    Author: T. V. Anoop and K. Ashok Kumar

    Journal: Journal of Mathematical Analysis and Applications

    DOI: 10.1016/j.jmaa.2019.123766

    Year: 2019

  11. On the strict monotonicity of the first eigenvalue of the p-Laplacian on annuli

    Author: T. V. Anoop and Vladimir Bobkov and Sarath Sasi

    Journal: Transactions of the American Mathematical Society

    DOI: https://doi.org/10.1090/tran/7241

    Year: 2018

  12. On the generalized Hardy-Rellich inequalities

    Author: Anoop, T.V. and Das, Ujjal and Sarkar, Abhishek

    Journal: Proceedings of the Royal Society of Edinburgh: Section A Mathematics

    Page: 1-23

    DOI: 10.1017/prm.2018.128

    Year: 2018

  13. Antimaximum principle in exterior domains

    Author: Anoop, T. V. and Drabek, P. and Sankar, Lakshmi and Sasi, Sarath

    Journal: Nonlinear Anal.

    Volume: 130

    Page: 241-254

    DOI: 10.1016/j.na.2015.10.010

    Year: 2016

  14. On the structure of the second eigenfunctions of the p-Laplacian on a ball

    Author: Anoop, T. V. and Drabek, P. and Sasi, Sarath

    Journal: Proc. Amer. Math. Soc.

    Volume: 144

    Page: 2503-2512

    DOI: 10.1090/proc/12902

    Year: 2016

  15. Weighted quasilinear eigenvalue problems in exterior domains

    Author: Anoop, T. V. and Drabek, Pavel and Sasi, Sarath

    Journal: Calc. Var. Partial Differential Equations

    Volume: :53

    Page: 961-975

    DOI: 10.1007/s00526-014-0773-2

    Year: 2015

  16. A note on generalized Hardy-Sobolev inequalities

    Author: Anoop, T. V.

    Journal: Int. J. Anal.

    Page: Art. ID 784398, 9

    Year: 2013

  17. Weighted eigenvalue problems for the p-Laplacian with weights in weak Lebesgue spaces

    Author: Anoop, T. V.

    Journal: Electron. J. Differential Equations

    Page: No. 64, 22

    Year: 2011

  18. A positive solution branch for nonlinear eigenvalue problems in $\mathbb{R}^N$}

    Author: Anoop, T. V. and Tyagi, Jagmohan

    Journal: Nonlinear Anal.

    Volume: 74

    Page: 2191--2200

    DOI: 0.1016/j.na.2010.11.023

    Year: 2011

  19. Eigenvalue problems with weights in Lorentz spaces

    Author: Anoop, T. V. and Lucia, Marcello and Ramaswamy, Mythily

    Journal: Calc. Var. Partial Differential Equations

    Volume: 36

    Page: 355-376

    DOI: 10.1007/s00526-009-0232-7

    Year: 2009

  20. Neumann eigenvalue problems on the exterior domains

    Author: Anoop, T. V. and Biswas, Nirjan

    Journal: Nonlinear Anal.

    Volume: 187

    Page: 339-351

    DOI: 10.1016/j.na.2019.05.004

    Year: 2019