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On the concentration-compactness phenomenon for the first Schrodinger eigenvalue

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Original languageEnglish
Pages (from-to)29-43
Number of pages15
JournalCalculus of Variations and Partial Differential Equations
Issue number1-2
Publication statusPublished - May 2010


We study a variational problem for the first eigenvalue lambda(1)(V) of the Schrodinger operator (-Delta(g) + V) on closed Riemannian surfaces. More precisely, we explore concentration-compactness properties of sequences formed by lambda(1)-extremal potentials.

ID: 4265845