Trudinger‐Moser inequalities on the entire Heisenberg group

DOI10.1002/mana.201200019zbMath1309.46019arXiv1201.2993OpenAlexW2963277210MaRDI QIDQ5169949

Yun Yan Yang

Publication date: 16 July 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2993

zbMATH Keywords

Heisenberg groupMoser-Trudinger inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (13)

Critical Gagliardo–Nirenberg, Trudinger, Brezis–Gallouet–Wainger inequalities on graded groups and ground states ⋮ Remainder terms for several inequalities on some groups of Heisenberg-type ⋮ Schrödinger-Hardy systems involving two Laplacian operators in the Heisenberg group ⋮ Existence for singular critical exponential \((p,Q)\) equations in the Heisenberg group ⋮ Sobolev spaces on metrizable groups ⋮ Trudinger-Moser embedding on the hyperbolic space ⋮ Improved Moser-Trudinger type inequalities in the hyperbolic space \(\mathbb{H}^n\) ⋮ Existence for \((p, q)\) critical systems in the Heisenberg group ⋮ \((p, Q)\) systems with critical singular exponential nonlinearities in the Heisenberg group ⋮ Fractional Adams-Moser-Trudinger type inequality on Heisenberg group ⋮ New Progress on Weighted Trudinger–Moser and Gagliardo–Nirenberg, and Critical Hardy Inequalities on Stratified Groups ⋮ Nodal solutions for \(Q\)-Laplacian problem with exponential nonlinearities on the Heisenberg group ⋮ Higher‐order Sobolev‐type embeddings on Carnot–Carathéodory spaces

Cites Work

• Unnamed Item
• The Moser-Trudinger inequality in unbounded domains of Heisenberg group and sub-elliptic equations
• Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space
• Trudinger-Moser inequalities on complete noncompact Riemannian manifolds
• A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
• \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
• Sobolev spaces on Riemannian manifolds
• Nontrivial solution of a quasilinear elliptic equation with critical growth in \(\mathbb{R}^ n\)
• Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
• Best constants for Moser-Trudinger inequalities on the Heisenberg group
• A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$

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