Brezis-Nirenberg problems for mixed local-nonlocal operators with superlinear perturbations: compactness and applications

Mousomi Bhakta, Nirjan Biswas, Paramananda Das

In this paper, we consider the following mixed local nonlocal Brezis-Nirenberg problem \begin{equation}\label{crit_pro_abstract}\tag{${\mathcal{P}}_{2^{\ast }}$} -Δu+(-Δ)^s u=λ|u|^{p-2}u+|…