Mixed local-nonlocal quasilinear problems with critical nonlinearities

João Vitor da Silva, Alessio Fiscella, Victor A. Blanco Viloria

We study existence and multiplicity of nontrivial solutions of the following problem $$ \left\{ \begin{array}{rcll} -Δ_p u+(-Δ_p)^{s} u & = & λ|u|^{q-2}u+|u|^{p^{\ast}-2}u & \mbox{…