Subelliptic and parametric equations on Carnot groups

DOI10.1090/proc/12948zbMath1386.35414OpenAlexW2158711966MaRDI QIDQ2802121

Giovanni Molica Bisci, Massimiliano Ferrara

Publication date: 25 April 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/12948

zbMATH Keywords

multiple solutionsCarnot groupscritical point resultssubelliptic equations

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Semilinear elliptic equations (35J61) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (11)

Nonlinear elliptic equations on Carnot groups ⋮ Unnamed Item ⋮ Some remarks on gradient-type systems on the Heisenberg group ⋮ Gradient-type systems on unbounded domains of the Heisenberg group ⋮ Yamabe-type equations on Carnot groups ⋮ Multiplicity results for magnetic fractional problems ⋮ Existence results for some anisotropic Dirichlet problems ⋮ Periodic solutions for nonlocal fractional equations ⋮ The Schrödinger-Poisson type system involving a critical nonlinearity on the first Heisenberg group ⋮ A Multiplicity Result for a Non-Homogeneous Subelliptic Problem with Sobolev Exponent ⋮ Sublinear equations driven by Hörmander operators

Cites Work

• Lions-type compactness and Rubik actions on the Heisenberg group
• A mountain pass theorem
• Subelliptic estimates and function spaces on nilpotent Lie groups
• A general variational principle and some of its applications
• Nonlinear elliptic inequalities with gradient terms on the Heisenberg group
• Semilinear subelliptic problems with critical growth on Carnot groups
• A note on a problem by Ricceri on the Ambrosetti-Rabinowitz condition
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• A characterization for elliptic problems on fractal sets
• A Lewy-Stampacchia Estimate for quasilinear variational inequalities in the Heisenberg group
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