Subgradient estimates for the equation \(\Delta_bu+cu^{-\alpha}=0\) on complete pseudohermitian manifolds

DOI10.1007/s12220-021-00863-2zbMath1487.32186OpenAlexW4210247868MaRDI QIDQ2117479

Peibiao Zhao, Guoqing He

Publication date: 21 March 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-021-00863-2

zbMATH Keywords

pseudohermitian manifoldsubgradient estimatenonlinear subelliptic equation

Mathematics Subject Classification ID

CR structures, CR operators, and generalizations (32V05) Analysis on CR manifolds (32V20)

Related Items (1)

Subgradient estimates for a nonlinear subparabolic equation on complete pseudo-Hermitian manifolds

Cites Work

• Li-Yau gradient estimate and entropy formulae for the CR heat equation in a closed pseudohermitian 3-manifold
• Gradient estimates for the equation \(\Delta u + cu ^{-\alpha} = 0\) on Riemannian manifolds
• Gradient estimate for the heat kernel of a complete Riemannian manifold and its applications
• On the CR analogue of Obata's theorem in a pseudohermitian 3-manifold
• Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains
• A Liouville-type theorem for smooth metric measure spaces
• CR sub-Laplacian comparison and Liouville-type theorem in a complete noncompact Sasakian manifold
• Hausdorff dimension of ruptures for solutions of a semilinear elliptic equation with singular nonlinearity
• The first eigenvalue of a sublaplacian on a pseudohermitian manifold
• The Fefferman Metric and Pseudohermitian Invariants
• Psuedo-Einstein Structures on CR Manifolds
• Harmonic functions on complete riemannian manifolds
• Differential equations on riemannian manifolds and their geometric applications
• Gradient estimates for a nonlinear elliptic equation on complete Riemannian manifolds

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