The isocritical regime for mixed local-nonlocal $(p,q)$ Laplacian: existence of ground state, and decay estimates

Diksha Gupta, Shammi Malhotra, K. Sreenadh

We study the mixed local-nonlocal operator ${\mathcal{L}}_{p,q}:=-{\Delta }_p+(-\Delta {)}_q^s$ in the isocritical regime $p^{\ast }=q_s^{\ast }$, i.e. $1-N/p=s-N/q$, under which both operators beco…