On an analogue of the Rozenblum-Lieb-Cwikel inequality for the biharmonic operator on a Riemannian manifold

DOI10.4310/MRL.1997.v4.n6.a6zbMath0910.47040OpenAlexW1985699172WikidataQ115163618 ScholiaQ115163618MaRDI QIDQ1382757

Daniel Levin

Publication date: 12 April 1999

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.1997.v4.n6.a6

zbMATH Keywords

Sobolev spaceRiemannian manifoldeigenvalue distributionRicci curvatureasymptotic formulabiharmonic operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05)

Related Items (3)

Cwikel estimates and negative eigenvalues of Schrödinger operators on noncommutative tori ⋮ Liouville theorems for stable solutions of biharmonic problem ⋮ The Gel'fand problem for the biharmonic operator

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