GROUP INVARIANCE AND POHOZAEV IDENTITY IN MOSER-TYPE INEQUALITIES

DOI10.1142/S021919971250054XzbMath1271.46030OpenAlexW2057841656WikidataQ59278472 ScholiaQ59278472MaRDI QIDQ4916149

Bernhard Ruf, Cristina Tarsi, Daniele Cassani

Publication date: 19 April 2013

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021919971250054x

zbMATH Keywords

critical growthPohozaev identityZygmund spacesMoser inequalitiesbest embedding constants

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (8)

Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements ⋮ Optimal Sobolev type inequalities in Lorentz spaces ⋮ Morse index of radial nodal solutions of Hénon type equations in dimension two ⋮ Extremal functions for sharp Moser-Trudinger type inequalities in the whole space \(\mathbb{R}^N\) ⋮ Equivalent Moser type inequalities in \(\mathbb{R}^2\) and the zero mass case ⋮ Remarks on a limiting case of Hardy type inequalities ⋮ Attainability of the best Sobolev constant in a ball ⋮ Ground states of coupled critical Choquard equations with weighted potentials

Cites Work

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• The concentration-compactness principle in the calculus of variations. The limit case. I
• Extremal functions for the Trudinger-Moser inequality in 2 dimensions
• Best constant in Sobolev inequality
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Extremal functions for Moser’s inequality
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• On a version of Trudinger-Moser inequality with Möbius shift invariance

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