Debangana Mukherjee

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Publications (19)

• Equivalence of weak and viscosity solutions for nonlocal p-Laplace type equations on the Heisenberg group
  Arxiv 2026
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• Multiplicity results for non-local elliptic problems with jumping nonlinearity
  COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 2025 DOI: 10.1080/17476933.2025.2598786
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• On the existence of multiple solutions for fractional Brezis-Nirenberg-type equations
  MATHEMATISCHE NACHRICHTEN 2022 DOI: 10.1002/MANA.202000098
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• Multiplicity and uniqueness for Lane-Emden equations and systems with Hardy potential and measure data
  JOURNAL OF DIFFERENTIAL EQUATIONS 2021 DOI: 10.1016/J.JDE.2021.09.037
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• Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential
  JOURNAL OF FUNCTIONAL ANALYSIS 2021 DOI: 10.1016/J.JFA.2021.109092
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• Uniqueness of the critical point for semi-stable solutions in R2
  CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 2021 DOI: 10.1007/S00526-020-01903-5
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• On the study of semilinear non-local elliptic systems
  Arxiv 2020
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• On the existence of three non-negative solutions for a $(p,q)$-Laplacian system
  Arxiv 2020
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• On fractional multi-singular Schrodinger operators: Positivity and localization of binding
  JOURNAL OF FUNCTIONAL ANALYSIS 2020 DOI: 10.1016/J.JFA.2019.108389
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• A Carleman estimate for the fractional heat equation and its application in final state observability
  Arxiv 2020
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