Ganguly, Debdip
- Sharp Poincar 'e-Hardy and Poincar 'e-Rellich inequalities on the\n hyperbolic space
2015/07/08 by Elvise Berchio, Berchio, Elvise, Debdip Ganguly +3 · 2 citations
Mathematics · #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics
- Sign changing solutions of the Brezis-Nirenberg problem in the Hyperbolic space
2012/09/25 by Debdip Ganguly, K. Sandeep, Ganguly, Debdip +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #math.AP
- Improved Multipolar Poincar 'e-Hardy inequalities on Cartan-Hadamard\n Manifolds
2018/10/03 by Elvise Berchio, Berchio, Elvise, Debdip Ganguly +3 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds
- Existence and Multiplicity of positive solutions of certain nonlocal scalar field equations
2019/10/17 by Mousomi Bhakta, Bhakta, Mousomi, Souptik Chakraborty +3 · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations
- Sharp quantitative stability of Poincare-Sobolev inequality in the hyperbolic space and applications to fast diffusion flows
2022/07/22 by Mousomi Bhakta, Bhakta, Mousomi, Debdip Ganguly +5 · 1 citation
Mathematics · #35A23 #35J61 #46E35 #58J05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations
- Hardy and Rellich identities and inequalities for Baouendi-Grushin operators via spherical vector fields
2024/04/08 by Debdip Ganguly, Ganguly, Debdip, K. Jotsaroop +3 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics
- Existence of high energy positive solutions for a class of elliptic equations in the hyperbolic space
2022/06/08 by Debdip Ganguly, Diksha Gupta, Ganguly, Debdip +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #Nonlinear Partial Differential Equations
- Multiplicity of positive solutions for a class of nonhomogeneous elliptic equations in the hyperbolic space
2022/09/26 by Ganguly, Debdip, Gupta, Diksha, Sreenadh, K. · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Sign changing solution of the hardy-sobolev-maz'ya equation
2014/01/12 by Debdip Ganguly, Ganguly, Debdip · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP
- On a class of elliptic equations with Critical Perturbations in the hyperbolic space
2023/05/31 by Ganguly, Debdip, Gupta, Diksha, Sreenadh, K. · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Scale-Dependent Poincaré inequalities, log-Sobolev inequality and the stability of the Heisenberg Uncertainty Principle on the hyperbolic space
2024/10/28 by Anh Xuan, Do, Anh Xuan, Debdip Ganguly +5 · 1 citation
Computer Science · Decision Sciences · Engineering · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Probabilistic and Robust Engineering Design #Stability and Controllability of Differential Equations