a minimax formula for the principal eigenvalues of dirichlet problems and its applications

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ID: 253282
2007
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Ranked #34 of 219 articles by views in icsoft 2006 - 1st international conference on software and data technologies, proceedings

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Abstract
A minimax formula for the principal eigenvalue of a nonselfadjoint Dirichlet problem was established in [8,18]. In this paper we generalize this formula to the case where an indefinite weight is present. Our proof requires less regularity and, unlike that in [8,18], does not rely on semigroups theory nor on stochastic differential equations. It makes use of weighted Sobolev spaces. An application is given to the study of the uniformity of the antimaximum principle.
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godoy2007electronica Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Tomas Godoy;Jean-Pierre Gossez;Sofia R. Paczka
Journal icsoft 2006 - 1st international conference on software and data technologies, proceedings
Year 2007
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