Title of article
Regularity and uniqueness of the first eigenfunction for singular fully nonlinear operators
Author/Authors
I. Birindelli، نويسنده , , F. Demengel، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
22
From page
1089
To page
1110
Abstract
For singular elliptic fully-nonlinear operators we prove that the eigenfunctions corresponding to the principal eigenvalues in bounded domains are simple. The proof uses in particular a regularity result obtained in the first part of the paper which is of independent interest
Keywords
Viscosity solutionsFully-nonlinear elliptic operatorMaximum principleRegularityPrincipal eigenvaluePositivityQualitative properties
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2010
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
751804
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