Limiting cases of Sobolev inequalities on stratified groups

DOI10.3792/pjaa.95.83zbMath1442.35108OpenAlexW2978129407MaRDI QIDQ2190654

Nurgissa Yessirkegenov, Michael Ruzhansky

Publication date: 21 June 2020

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1570003225

zbMATH Keywords

Sobolev inequalityTrudinger inequalitysub-LaplacianGagliardo-Nirenberg inequalitystratified group

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Nonlinear higher-order PDEs (35G20) Analysis on other specific Lie groups (43A80) Variational methods for higher-order elliptic equations (35J35)

Related Items (3)

Critical Gagliardo–Nirenberg, Trudinger, Brezis–Gallouet–Wainger inequalities on graded groups and ground states ⋮ Rellich, Gagliardo-Nirenberg, Trudinger and Caffarelli-Kohn-Nirenberg inequalities for Dunkl operators and applications ⋮ Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations

Cites Work

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• Quantization on nilpotent Lie groups
• Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem
• A sharp inequality of J. Moser for higher order derivatives
• Asymptotic behaviour in \(L^ r\) for weak solutions of the Navier-Stokes equations in exterior domains
• Extremal functions for the Trudinger-Moser inequality in 2 dimensions
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Observations on Moser's inequality
• Characterization of Trudinger's inequality
• Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups
• Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications
• On critical cases of Sobolev's inequalities
• Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs
• A singular Moser-Trudinger embedding and its applications
• A proof of Trudinger's inequality and its application to nonlinear Schrödinger equations
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Nonlinear Schrödinger evolution equations
• Best constants for Moser-Trudinger inequalities on the Heisenberg group
• Rellich inequalities for sub-Laplacians with drift
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• On Nonuniformly Subelliptic Equations of Q−sub-Laplacian Type with Critical Growth in the Heisenberg Group
• A Class of Sub-elliptic Equations on the Heisenberg Group and Related Interpolation Inequalities
• Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
• New Progress on Weighted Trudinger–Moser and Gagliardo–Nirenberg, and Critical Hardy Inequalities on Stratified Groups

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