Regularity and uniqueness of the first eigenfunction for singular fully nonlinear operators

By Isabeau Birindelli, Françoise Demengel. 2009

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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.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/406836db722937999244f89b9ba2fdfc7fc7d518