Bounds for best constants in subcritical Sobolev embeddings

DOI10.1016/j.na.2019.05.012zbMath1423.35010OpenAlexW2947106085WikidataQ127705060 ScholiaQ127705060MaRDI QIDQ2274384

Daniele Cassani, Jian Jun Zhang, Cristina Tarsi

Publication date: 19 September 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.05.012

zbMATH Keywords

Trudinger-Moser inequalityupper and lower estimates

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (5)

Bose fluids and positive solutions to weakly coupled systems with critical growth in dimension two ⋮ Fine bounds for best constants of fractional subcritical Sobolev embeddings and applications to nonlocal PDEs ⋮ Schrödinger-Newton equations in dimension two via a Pohozaev-Trudinger log-weighted inequality ⋮ Bounds for subcritical best Sobolev constants in \(W^{1, p}\) ⋮ Blow-up of ground states of fractional Choquard equations

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