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math.AP2024
On an eigenvalue problem associated with mixed operators under mixed boundary conditions
Jacques Giacomoni, Tuhina Mukherjee, Lovelesh Sharma
In this paper, we study a class of eigenvalue problems involving both local as well as nonlocal operators, precisely the classical Laplace operator and the fractional Laplace opera…
math.AP2023★ 8 cited
Nonlocal critical exponent singular problems under mixed Dirichlet-Neumann boundary conditions
Tuhina Mukherjee, Patrizia Pucci, Lovelesh Sharma
In this paper, we study the following singular problem, under mixed Dirichlet-Neumann boundary conditions, and involving the fractional Laplacian \begin{equation*} \label{1} \begin…