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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:249

Article

Birindelli, I.¹  Demengel, F.² 

[1] Sapienza Univ Roma, Rome, Italy

[2] Univ Cergy Pontoise, Cergy Pontoise, France

关键词: Viscosity solutions;    Fully-nonlinear elliptic operator;    Maximum principle;    Regularity;    Principal eigenvalue;    Positivity;    Qualitative properties;   

DOI  :  10.1016/j.jde.2010.03.015

来源: Elsevier

【 摘 要 】

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. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free