Gradient bounds for the horizontal \(p\)-Laplacian on a Carnot group and some applications
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Publication:1034710
DOI10.1007/s00229-009-0294-zzbMath1179.35077OpenAlexW1991700835MaRDI QIDQ1034710
Publication date: 6 November 2009
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00229-009-0294-z
A priori estimates in context of PDEs (35B45) Hypoelliptic equations (35H10) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Related Items
A note on monotonicity and Bochner formulas in Carnot groups, A note on Keller-Osserman conditions on Carnot groups, Optimal partial regularity for sub-elliptic systems with sub-quadratic growth in Carnot groups, Keller-Osserman type conditions for differential inequalities with gradient terms on the Heisenberg group, Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities, The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold, Regularity results for minimizers of \((2,q)\)-growth functionals in the Heisenberg group, Optimal partial regularity for sub-elliptic systems related to Hörmander's vector fields: the controllable growth case, Hölder continuity for nonlinear sub-elliptic systems with sub-quadratic growth, Nonlinear elliptic inequalities with gradient terms on the Heisenberg group
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