Displaying similar documents to “On some problems in the theory of eigenvalues and eigenfunctions associated with linear elliptic partial differential equations of the second order”

The Asymptotic Behaviour of the First Eigenvalue of Linear Second-Order Elliptic Equations in Divergente Form

Fabricant, Alexander, Kutev, Nikolai, Rangelov, Tsviatko (2007)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 35J70, 35P15. The asymptotic of the first eigenvalue for linear second order elliptic equations in divergence form with large drift is studied. A necessary and a sufficient condition for the maximum possible rate of the first eigenvalue is proved.