Best constants in a borderline case of second-order Moser type inequalities

DOI10.1016/j.anihpc.2009.07.006zbMath1194.46048OpenAlexW2085964184WikidataQ59278477 ScholiaQ59278477MaRDI QIDQ846390

Daniele Cassani, Bernhard Ruf, Cristina Tarsi

Publication date: 9 February 2010

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2009.07.006

zbMATH Keywords

Sobolev embeddingselliptic equationsbest constantsBrézis-Merle type resultsPohožaevregularity estimates in \(L^1\)Strichartz and Trudinger inequalities

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) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (14)

Adams' inequality and limiting Sobolev embeddings into Zygmund spaces ⋮ Higher-order functional inequalities related to the clamped 1-biharmonic operator ⋮ Best constants and existence of maximizers for anisotropic weighted Moser-Trudinger inequalities in \(\mathbb{R}^N\) ⋮ Optimal Sobolev and Hardy-Rellich constants under Navier boundary conditions ⋮ Equivalent Moser type inequalities in \(\mathbb{R}^2\) and the zero mass case ⋮ Remarks on a limiting case of Hardy type inequalities ⋮ Hamiltonian elliptic systems with critical polynomial-exponential growth ⋮ Sharp Adams-type inequalities in ℝⁿ ⋮ Higher order Adams’ inequality with the exact growth condition ⋮ On a regularized system of self-gravitating particles ⋮ Optimal limiting embeddings for \(\Delta\)-reduced Sobolev spaces in \(L^1\) ⋮ Sharp Moser-Trudinger inequalities for the Laplacian without boundary conditions ⋮ An Endpoint Alexandrov Bakelman Pucci Estimate in the Plane ⋮ On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result

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