Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants

zbMath1244.26030arXiv1009.5619MaRDI QIDQ2884725

Jean Dolbeault, Maria J. Esteban

Publication date: 18 May 2012

Full work available at URL: https://arxiv.org/abs/1009.5619

zbMATH Keywords

existencelinearizationlogarithmic Sobolev inequalityextremal functionscompactnesssymmetry breakingoptimal constantsradial symmetryCaffarelli-Kohn-Nirenberg inequalitylogarithmic Hardy inequalityEmden-Fowler transformationGagliardo-Nirenberg inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

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