Existence of solutions for p-sub-Laplacians with nonlinear sources on the Heisenberg group
Aidyn Kassymov, Durvudkhan Suragan · Complex Variables and Elliptic Equations · 2020
In this note, we prove the existence of a weak solution for nonlinear p-sub-Laplacian equations with the Dirichlet boundary condition on the Heisenberg group. In the proof, we use a version of the mountain pass theorem and the Folland–Stein embedding theorem as the main tools.