On criticality coupled sub-Laplacian systems with Hardy type potentials on stratified Lie groups

DOI10.3934/CAM.2023005zbMath1518.35604OpenAlexW4360917641MaRDI QIDQ6107336

Shuhai Zhu, Jinguo Zhang

Publication date: 3 July 2023

Published in: Communications in Analysis and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cam.2023005

zbMATH Keywords

critical exponentsCarnot groupsHardy-type potentialsub-Laplacian system

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (3)

\(k\)-convex solutions for multiparameter Dirichlet systems with \(k\)-Hessian operator and Lane-Emden type nonlinearities ⋮ Sub-elliptic systems involving critical Hardy-Sobolev exponents and sign-changing weight functions on Carnot groups ⋮ Infinitely many solutions for Hamiltonian system with critical growth

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