Department of Mathematics

Indian Institute Of Technology Madras , Chennai
Dr. Anoop T V
NAC 625
DESIGNATION

Associate Professor

CURRENT RESEARCH INTEREST

Partial Differential Equations

CONTACT

044 - 2257 4634

anoop

RESEARCH GROUPS Analysis
Graduate Students Ashok Kumar K

Recent Publications :

Szego-Weinberger Type Inequalities for Symmetric Domains with Holes

Authors : 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

The compactness and the concentration compactness via p-capacity

Authors : T. V. Anoop and Ujjal Das

Journal : Annali di Matematica Pura ed Applicata

DOI: 10.1007/s10231-021-01098-2

Year: 2021

Admissible function spaces for weighted Sobolev inequalities

Authors : 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

On global bifurcation for the nonlinear Steklov problems

Authors : T V Anoop and Nirjan Biswas

Journal : Topological Methods in Nonlinear Analysis

Page: 1- 33 DOI: 10.12775/TMNA.2020.080

Year: 2021

A shape variation result via the geometry of eigenfunctions

Authors : 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

On reverse Faber-Krahn inequalities

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

Journal : Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2019.123766

Year: 2019

Neumann eigenvalue problems on the exterior domains

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

Journal : Nonlinear Anal.

Volume :187 Page: 339-351 DOI: 10.1016/j.na.2019.05.004

Year: 2019

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

Authors : 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

On the generalized Hardy-Rellich inequalities

Authors : 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

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

Authors : 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

Antimaximum principle in exterior domains

Authors : 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

Weighted quasilinear eigenvalue problems in exterior domains

Authors : 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

A note on generalized Hardy-Sobolev inequalities

Authors : Anoop, T. V.

Journal : Int. J. Anal.

Page: Art. ID 784398, 9

Year: 2013

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

Authors : Anoop, T. V.

Journal : Electron. J. Differential Equations

Page: No. 64, 22

Year: 2011

Eigenvalue problems with weights in Lorentz spaces

Authors : 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