25 citations · 102 across the 25 of their papers we have counts for
28 papers
Sharp -Caffarelli--Kohn--Nirenberg and weighted Poincaré inequalities on half-spaces and orthants and their stability
Nguyen Lam, Yukta Lodha, Guozhen Lu +1
Though the sharp -Caffarelli--Kohn--Nirenberg (CKN) inequalities have been extensively studied in the entire Euclidean spaces, the corresponding problem on domains whose bou…
Symplectic structure on the character varieties of Sasakian threefolds
Indranil Biswas, Ambar N. Sengupta
Take a compact Sasakian threefold and consider the associated irreducible -character variety ${\mathcal R} := \text{Hom}(π_1(M, x_0), \text{SL}(r, {\m…
Heisenberg Uncertainty Principle on half spaces and Orthants: Best constants, Optimizers and Stability
Nguyen Lam, Yukta Lodha, Guozhen Lu +1
Though the sharp Heisenberg Uncertainty Principle has been extensively studied in the entire Euclidean spaces, the counterpart on the half spaces or more general orthants has been…
Variational Dual Solutions of Chern-Simons Theory
Amit Acharya, Janusz Ginster, Ambar N. Sengupta
A scheme for generating weakly lower semi-continuous action functionals corresponding to the Euler-Lagrange equations of Chern-Simons theory is described. Coercivity is deduced for…
Variational principle for a damped, quadratically interacting particle chain with nonconservative forcing
Amit Acharya, Ambar N. Sengupta
A method for designing variational principles for the dynamics of a possibly dissipative and non-conservatively forced chain of particles is demonstrated. Some qualitative features…
Action principles for dissipative, non-holonomic Newtonian mechanics
Amit Acharya, Ambar N. Sengupta
A methodology for deriving dual variational principles for the classical Newtonian mechanics of mass points in the presence of applied forces, interaction forces, and constraints,…