Entire solutions of quasilinear elliptic systems on Carnot groups

DOI10.1134/S0081543813080026zbMath1287.35093arXiv1209.5087OpenAlexW1992674517MaRDI QIDQ2446231

Lorenzo D'Ambrosio, Enzo Mitidieri

Publication date: 16 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5087

zbMATH Keywords

a priori estimatesCarnot groupsentire solutionsquasilinear elliptic systems

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Quasilinear elliptic equations (35J62) Entire solutions to PDEs (35B08)

Related Items (9)

Convex solutions of Monge-Ampère equations and systems: existence, uniqueness and asymptotic behavior ⋮ Quasilinear elliptic systems in divergence form associated to general nonlinearities ⋮ Nonlinear elliptic equations on Carnot groups ⋮ Maximal domains of the \((\lambda, \mu )\)-parameters to existence of entire positive solutions for singular quasilinear elliptic systems ⋮ On some multicomponent quasilinear elliptic systems ⋮ Liouville theorems for semilinear differential inequalities on sub-Riemannian manifolds ⋮ Some recent results on singular \(p\)-Laplacian systems ⋮ Singular quasilinear convective elliptic systems in \(\mathbb{R}^N\) ⋮ A class of singular coupled systems of superlinear Monge-Ampère equations

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