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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…
math.AP2023★ 1 cited
On elliptic problems with mixed operators and Dirichlet-Neumann boundary conditions
Tuhina Mukherjee, Lovelesh Sharma
In this paper, we study the existence, nonexistence and multiplicity of positive solutions to the problem given by \begin{equation*} \label{1} \left\{\begin{split} \mathcal{L}u\: &…