On a question of Brezis and Marcus

By Stathis Filippas, V. Maz’ya, A. Tertikas. 2006

80 citations recorded by the source corpus.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/72ba926be9d43e3232360e6f02848541153e21e1

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In Applied Mathematics

1. A. Tertikas
2. Stathis Filippas
3. V. Maz’ya
4. Junfang Li
5. R. Lewis
6. Yanyan Li
7. J. Tidblom
8. Rupert L. Frank

Citations in the corpus

• Critical Hardy–Sobolev inequalities (2006, background): “nonnegativity of the left hand side of (1.3) for p = 2 has been shown in [BM] for K = ∂Ω. Other improvements of the plain Hardy inequality involving any arbitrary subcritical Lq term are presented in [FMT2] for the case where Ω is a convex domain and K = ∂Ω. For earlier results involving improvement”
• A geometric characterization of a sharp Hardy inequality (2011, methodology): “Filippas, Maz’ya, and Tertikas [15] proved that in a small enough tubular neighborhood of the boundary of a bounded domain, a Hardy-Sobolev inequality holds.”
• On the structure of Hardy–Sobolev–Maz'ya inequalities (2008, background): “This estimate has recently been extended in [7]: ∫”