Existence of solutions for p-sub-Laplacians with nonlinear sources on the Heisenberg group
Kassymov A. Suragan D.
2021Taylor and Francis Ltd.
Complex Variables and Elliptic Equations
2021#66Issue 4614 - 625 pp.
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.
22E30 , 35A01 , 35H99 , B. Zhang , Existence , Heisenberg group , mountain pass theorem , p-sub-Laplacian
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Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
Faculty of Mechanics and Mathematics, Al-Farabi Kazakh National University, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics, Nazarbayev University, Nur-Sultan, Kazakhstan
Department of Mathematics: Analysis
Faculty of Mechanics and Mathematics
Institute of Mathematics and Mathematical Modeling
Department of Mathematics
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