Ministry of Education
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Dr Prashanta Garain

vidwan id: 305454
Male

Assistant Professor, Department of Mathematical Sciences
Indian Institute of Science Education and Research(IISER), Berhampur

Orchid Icon 0000-0001-6285-9329 Google Scholar Icon 57196001115 Google Scholar Icon _MkGlWQAAAAJ

Expertise

  • Mathematics

Publications

Total Articles 41
Books 0
Proceedings 0

Publications

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Scopus

Citations 369
h-index 10

CrossRef

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Citations 131
h-index 6
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Professional Recognition

2014

NBHM Ph.D. Fellowship

NBHM
2014

CSIR

CSIR
2014

GATE

MHRD

Community & Membership

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Bio

Analysis of Partial Differential Equations

Personal Details

  • Male
  • Assistant Professor , Indian Institute of Science Education and Research(IISER), Berhampur
  • IISER Berhampur
Ph.D.
Indian Institute of Technology Kanpur 2019
Assistant Professor Mar 2023 – Present
Indian Institute of Science Education and Research(IISER), Berhampur | Department of Mathematical Sciences
Assistant Professor Aug 2022 – Mar 2023
Indian Institute of Technology Indore | Department of Mathematics

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Co-Authors (4)

Kaushik

Dr Kaushik Bal

Indian Institute of Technology Kanpur

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Prof Konijeti Sreenadh

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Dr Tuhina Mukherjee

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N/A

Scholarly Work

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Scholarly Publications

On the regularity and existence of weak solutions for a class of degenerate singular elliptic problem

Open Access
Article
manuscripta mathematica. Year: 2024. Volume: 174 , Issue: 1-2 , Pages: 141-158 .
Authors: Garain P.
DOI 10.1007/s00229-023-01504-4
2 3

Higher Hölder regularity for the fractional p-Laplace equation in the subquadratic case

Open Access
Article
Mathematische Annalen. Year: 2024. Volume: 390 , Issue: 4 , Pages: 5753-5792 .
Authors: Garain P.;Lindgren E.
DOI 10.1007/s00208-024-02891-z
10

On the Neumann (p, q)-eigenvalue problem in Hölder singular domains

Open Access
Article
Calculus of Variations and Partial Differential Equations. Year: 2024. Volume: 63 , Issue: 7 .
Authors: Garain P.;Pchelintsev V.;Ukhlov A.
DOI 10.1007/s00526-024-02788-4
3

Higher Hölder regularity for mixed local and nonlocal degenerate elliptic equations

Open Access
Article
Calculus of Variations and Partial Differential Equations. Year: 2023. Volume: 62 , Issue: 2 .
Authors: Garain P.;Lindgren E.
DOI 10.1007/s00526-022-02401-6
14 38

Weak Harnack inequality for a mixed local and nonlocal parabolic equation

Open Access
Article
Journal of Differential Equations. Year: 2023. Volume: 360 , Pages: 373-406 .
Authors: Garain P.;Kinnunen J.
DOI 10.1016/j.jde.2023.02.049
4 13

Mixed Local and Nonlocal Dirichlet (p, q)-Eigenvalue Problem

Open Access
Article
Year: 2023. Volume: 270 , Issue: 6 , Pages: 782-792 .
Authors: Garain P.;Ukhlov A.
DOI 10.1007/s10958-023-06389-y
1 4

On a Class of Mixed Local and Nonlocal Semilinear Elliptic Equation with Singular Nonlinearity

Open Access
Article
Year: 2023. Volume: 33 , Issue: 7 .
Authors: Garain P.
DOI 10.1007/s12220-023-01262-5
6 17

Mixed anisotropic and nonlocal Dirichlet (p, q)-eigenvalue problem

Open Access
Article
Year: 2023. Volume: 14 , Issue: 1 , Pages: 217-232 .
Authors: Garain P.;Ukhlov A.
1