A variant of Poincaré's inequality.

DOI10.1016/S1631-073X(03)00313-3zbMath1073.46028MaRDI QIDQ1408927

Augusto C. Ponce

Publication date: 26 September 2003

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

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Variational methods for second-order elliptic equations (35J20)

Related Items

On fractional Poincaré inequalities, On the weighted fractional Poincar\'e-type inequalities

Cites Work

• Limiting embedding theorems for \(W^{s,p}\) when \(s\uparrow 1\) and applications
• \(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation
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