Optimal improved \(L_p\)-Riemannian Gagliardo-Nirenberg inequalities

DOI10.1016/j.na.2009.12.009zbMath1184.53047OpenAlexW1967777676WikidataQ115343067 ScholiaQ115343067MaRDI QIDQ847367

Wenyi Chen, Xiaomei Sun

Publication date: 12 February 2010

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.2009.12.009

zbMATH Keywords

validitybest constantimproved Gagliardo-Nirenberg inequality

Mathematics Subject Classification ID

Variational inequalities (49J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Sharp \(L^p\)-Moser inequality on Riemannian manifolds ⋮ Nonnegative nontrivial solutions for a class of \(p(x)\)-Kirchhoff equation involving concave-convex nonlinearities ⋮ Extremals for sharp GNS inequalities on compact manifolds ⋮ Sharp constants in Riemannian \(L^p\)-Gagliardo-Nirenberg inequalities

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