Equivalence of critical and subcritical sharp Trudinger-Moser inequalities in fractional dimensions and extremal functions
DOI10.4171/rmi/1349zbMath1529.46023arXiv2108.04977OpenAlexW4280600074MaRDI QIDQ6172751
João Marcos Bezerra do Ó, José Francisco De Oliveira
Publication date: 20 July 2023
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.04977
differential equationsSobolev inequalityextremalsTrudinger-Moser inequalitysharp constantfractional dimensions
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
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