Sharp Sobolev type inequalities for higher fractional derivatives

DOI10.1016/S1631-073X(02)02576-1zbMath1032.26010MaRDI QIDQ1851442

Nikolaos Con. Tavoularis, Athanase Cotsiolis

Publication date: 16 June 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesSobolev inequalitysharp constant

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Inequalities involving derivatives and differential and integral operators (26D10) Fourier integral operators applied to PDEs (35S30)

Related Items (14)

Best constants for Sobolev inequalities for higher order fractional derivatives ⋮ Two nontrivial solutions for a nonhomogeneous fractional Schrödinger-Poisson equation in \(\mathbb{R}^3\) ⋮ A General Fractional Porous Medium Equation ⋮ On Liouville type theorem for the steady fractional Navier-Stokes equations in \(\mathbb{R}^3\) ⋮ Existence of non-trivial solutions for nonlinear fractional Schrödinger-Poisson equations ⋮ On the stability and spectral properties of the two-dimensional Brown-Ravenhall operator with a short-range potential ⋮ Strengthened fractional Sobolev type inequalities in Besov spaces ⋮ Existence results for a fractional Schrödinger–Poisson equation with concave–convex nonlinearity in ℝ3 ⋮ Global regularity for solutions of the three dimensional Navier–Stokes equation with almost two dimensional initial data ⋮ Maximum principles and ABP estimates to nonlocal Lane-Emden systems and some consequences ⋮ Limit of fractional power Sobolev inequalities ⋮ On the constants for some fractional Gagliardo-Nirenberg and Sobolev inequalities ⋮ On logarithmic Sobolev inequalities for higher order fractional derivatives ⋮ Fractional Gagliardo-Nirenberg and Hardy inequalities under Lorentz norms

Cites Work

• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• Paneitz-type operators and applications
• Best constant for the embedding of the space \(H^ 2\cap H^ 1_ 0(\Omega)\) into \(L^{2N/(N-4)}\Omega\)
• Unnamed Item
• Unnamed Item

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