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Existence of solutions for p-sub-Laplacians with nonlinear sources on the Heisenberg group

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Abstract
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.
Keywords
Applied Mathematics, Analysis, Numerical Analysis, Computational Mathematics, B, Zhang, Existence, p-sub-Laplacian, mountain pass theorem, Heisenberg group, DIRICHLET PROBLEM, EQUATIONS

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MLA
Kassymov, Aidyn, and Durvudkhan Suragan. “Existence of Solutions for P-Sub-Laplacians with Nonlinear Sources on the Heisenberg Group.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, vol. 66, no. 4, 2021, pp. 614–25, doi:10.1080/17476933.2020.1731737.
APA
Kassymov, A., & Suragan, D. (2021). Existence of solutions for p-sub-Laplacians with nonlinear sources on the Heisenberg group. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 66(4), 614–625. https://doi.org/10.1080/17476933.2020.1731737
Chicago author-date
Kassymov, Aidyn, and Durvudkhan Suragan. 2021. “Existence of Solutions for P-Sub-Laplacians with Nonlinear Sources on the Heisenberg Group.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 66 (4): 614–25. https://doi.org/10.1080/17476933.2020.1731737.
Chicago author-date (all authors)
Kassymov, Aidyn, and Durvudkhan Suragan. 2021. “Existence of Solutions for P-Sub-Laplacians with Nonlinear Sources on the Heisenberg Group.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 66 (4): 614–625. doi:10.1080/17476933.2020.1731737.
Vancouver
1.
Kassymov A, Suragan D. Existence of solutions for p-sub-Laplacians with nonlinear sources on the Heisenberg group. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. 2021;66(4):614–25.
IEEE
[1]
A. Kassymov and D. Suragan, “Existence of solutions for p-sub-Laplacians with nonlinear sources on the Heisenberg group,” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, vol. 66, no. 4, pp. 614–625, 2021.
@article{8713189,
  abstract     = {{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.}},
  author       = {{Kassymov, Aidyn and Suragan, Durvudkhan}},
  issn         = {{1747-6933}},
  journal      = {{COMPLEX VARIABLES AND ELLIPTIC EQUATIONS}},
  keywords     = {{Applied Mathematics,Analysis,Numerical Analysis,Computational Mathematics,B,Zhang,Existence,p-sub-Laplacian,mountain pass theorem,Heisenberg group,DIRICHLET PROBLEM,EQUATIONS}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{614--625}},
  title        = {{Existence of solutions for p-sub-Laplacians with nonlinear sources on the Heisenberg group}},
  url          = {{http://doi.org/10.1080/17476933.2020.1731737}},
  volume       = {{66}},
  year         = {{2021}},
}

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