Sekhar Ghosh

About

I am working as an Assistant Professor Grade II, Level 11 at the Department of Mathematics, National Institute of Technology Calicut, Kerala, India.

Employment

• National Institute of Technology Calicut Assistant Professor Grade II, Level 11
  2025 - Present
• National Institute of Technology Calicut Assistant Professor Grade II, Level 10
  2022 - 2025
• Ghent University Visiting Researcher
  2022 - 2022
• Indian Statistical Institute Research Associate (Post-Doctoral Fellow)
  2021 - 2022
• Rajiv Gandhi University of Knowledge Technologies , RK Valley Lecturer
  2014 - 2016

Education

• National Institute of Technology Rourkela Ph.D
  2017 - 2021
• University of Hyderabad, School of Mathematics M.Sc
  2012 - 2014
• University of Calcutta B.Sc
  2009 - 2012

Projects & Funding

Projects & funding information is unavailable.

Publications (22)

• Subelliptic nonlocal Brezis–Nirenberg problems on stratified Lie groups
  Communications in Contemporary Mathematics 2026 DOI: 10.1142/S0219199725500798
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• Equivalence of weak and viscosity solutions to mixed local and nonlocal $p$-Laplace equation
  Zeitschrift für Analysis und ihre Anwendungen 2026 DOI: 10.4171/zaa/1815
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• A weighted eigenvalue problem for mixed local and nonlocal operators with potential
  Mathematische Nachrichten 2026 DOI: 10.1002/mana.70093
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• Nonlocal subelliptic systems involving concave–convex nonlinearities on stratified Lie groups
  Bulletin of Mathematical Sciences 2026 DOI: 10.1142/S1664360726500025
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• Superlinear problems involving nonlinear superposition operators of mixed fractional order
  Proceedings of the Royal Society of Edinburgh: Section A Mathematics 2026 DOI: 10.1017/prm.2026.10124
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• INFINITELY MANY SOLUTIONS FOR NONLINEAR SUPERPOSITION OPERATORS OF MIXED FRACTIONAL ORDER INVOLVING CRITICAL EXPONENT
  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S 2026 DOI: 10.3934/DCDSS.2026089
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• On equivalence of weak and viscosity solutions to nonlocal double phase problems with nonhomogeneous data
  Journal of Differential Equations 2026 DOI: 10.1016/j.jde.2026.114634
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• Existence of at least k solutions to a fractional p-Kirchhoff problem involving singularity and critical exponent
  Fractional Calculus and Applied Analysis 2025 DOI: 10.1007/s13540-025-00382-9
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• Mixed local and nonlocal eigenvalue problems in the exterior domain
  Fractional Calculus and Applied Analysis 2025 DOI: 10.1007/s13540-025-00416-2
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• Existence Results for Mixed Local and Nonlocal Elliptic Equations Involving Singularity and Nonregular Data
  The Journal of Geometric Analysis 2025 DOI: 10.1007/s12220-025-02048-7
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