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.
Regularity and uniqueness of the first eigenfunction for singular fully non linear operators / Birindelli, Isabella; F., Demengel. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 249:(2010), pp. 1089-1110. [10.1016/j.jde.2010.03.015]
Regularity and uniqueness of the first eigenfunction for singular fully non linear operators
BIRINDELLI, Isabella;
2010
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.File allegati a questo prodotto
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