Extremal functions for Trudinger-Moser inequalities with nonnegative weights

DOI10.1186/s13660-018-1718-7zbMath1497.46043OpenAlexW2803488999WikidataQ55333265 ScholiaQ55333265MaRDI QIDQ824584

Song Bo Hou

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1718-7

zbMATH Keywords

Trudinger-Moser inequalityextremal functionblow-up analysis

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Variational methods for second-order elliptic equations (35J20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

A Weighted Singular Trudinger-Moser Inequality, Extremals for a Trudinger-Moser inequality with a vanishing weight in the unit disk, Extremal functions for the modified Trudinger-Moser inequalities in two dimensions

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