
Existence of solutions for p-sub-Laplacians with nonlinear sources on the Heisenberg group
- Author
- Aidyn Kassymov (UGent) and Durvudkhan Suragan
- Organization
- 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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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8713189
- 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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