Nontrivial solutions for a class of non-divergence equations on polarizable Carnot group

DOI10.1007/BF02791353zbMath1237.35032OpenAlexW2089344485MaRDI QIDQ2505264

Hai-Feng Liu, Peng Cheng Niu

Publication date: 4 October 2006

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02791353

zbMATH Keywords

Dirichlet problemAlexandrov-Bakelman-Pucci estimatepolarizable Carnot group

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Geometric theory, characteristics, transformations in context of PDEs (35A30) Subelliptic equations (35H20)

Related Items (1)

Global existence and blow-up of solutions for a strongly damped Petrovsky system with nonlinear damping

Cites Work

• Subelliptic estimates and function spaces on nilpotent Lie groups
• Polar coordinates in Carnot groups
• Notion of convexity in Carnot groups
• Nonlinear equations on Carnot groups and curvature problems for CR manifolds
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• A fundamental solution for a subelliptic operator

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