Nodal solutions for the fractional Yamabe problem on Heisenberg groups

DOI10.1017/prm.2018.95zbMath1439.35503arXiv1708.08072OpenAlexW2753459901MaRDI QIDQ5221042

Alexandru Kristály

Publication date: 27 March 2020

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.08072

zbMATH Keywords

Heisenberg groupnodal solutionCR fractional sub-Laplacian

Mathematics Subject Classification ID

Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (6)

Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups ⋮ Lieb's and Lions' type theorems on Heisenberg group and applications ⋮ A heat equation approach to intertwining ⋮ Existence problems on Heisenberg groups involving Hardy and critical terms ⋮ A flower-shape geometry and nonlinear problems on strip-like domains ⋮ Infinitely many sign-changing solutions of a critical fractional equation

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