Equivalence of Sobolev inequalities and Lieb-Thirring inequalities

zbMath1203.81072arXiv0909.5449MaRDI QIDQ3059394

Robert Seiringer, Rupert L. Frank, Elliott H. Lieb

Publication date: 8 December 2010

Full work available at URL: https://arxiv.org/abs/0909.5449

zbMATH Keywords

Schrödinger operatorSobolev inequalitybound statesstability of matter

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

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