A direct method of moving planes to fractional power subLaplace equations on the Heisenberg group
DOI10.1007/S10255-021-1016-XzbMath1464.35390OpenAlexW3158925540MaRDI QIDQ2025177
Publication date: 11 May 2021
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-021-1016-x
direct method of moving planesfractional power subLaplace equationnonexistence of positive cylindrical solutions
Pseudodifferential operators as generalizations of partial differential operators (35S05) Maximum principles in context of PDEs (35B50) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Fractional partial differential equations (35R11)
Cites Work
- Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group
- An extension problem for the CR fractional Laplacian
- A nonlinear Liouville theorem for fractional equations in the Heisenberg group
- A direct method of moving planes for the fractional Laplacian
- Monotonicity and symmetry results for degenerate elliptic equations on nilpotent Lie groups.
- The Yamabe problem on CR manifolds
- Symmetry and related properties via the maximum principle
- Classification of solutions of some nonlinear elliptic equations
- Liouville theorems for semilinear equations on the Heisenberg group
- Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
- A semilinear problem for the Heisenberg Laplacian
- Harnack inequality for fractional sub-Laplacians in Carnot groups
- Hypoelliptic second order differential equations
- Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
- Indefinite fractional elliptic problem and Liouville theorems
- A concave—convex elliptic problem involving the fractional Laplacian
- Boundary regularity in the dirichlet problem for □b on cr manifolds
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Global and local behavior of positive solutions of nonlinear elliptic equations
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- Elliptic Partial Differential Equations of Second Order
- Nonlinear liouville theorems in the heisenberg group vip the moving plane method
- An Extension Problem Related to the Fractional Laplacian
- Classification of solutions for an integral equation
- A fundamental solution for a subelliptic operator
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