3 papers
math.AP2026
Nonlocal Tikhonov Regularization: Hilbert Scales, Explicit Rates, and the Classical Limit
Debangana Mukherjee, Akash Ashirbad Panda
We study fractional-Sobolev Tikhonov regularization for linear inverse problems on a bounded Lipschitz domain. The regularization penalty is generated by the restricted Dirichlet f…
math.AP2026
Equivalence of weak and viscosity solutions for nonlocal p-Laplace type equations on the Heisenberg group
Debangana Mukherjee, Vivek Tewary
We establish the equivalence between weak and viscosity solutions for a broad class of nonlocal -Laplace type equations on the Heisenberg group whose kernels satisfy standard sy…
math.AP2026
On fractional critical problems with multi-polar Hardy potentials
Edoardo Mainini, Debangana Mukherjee, Roberto Ognibene
We investigate the existence of positive solutions to fractional equations presenting a double criticality: a multi-polar Hardy-type potential and a Sobolev critical nonlinearity.…