Generalizations and Properties of the Principal Eigenvalue of Elliptic Operators in Unbounded Domains
Generalizations and Properties of the Principal Eigenvalue of Elliptic Operators in Unbounded Domains
Using three different notions of the generalized principal eigenvalue of linear secondāorder elliptic operators in unbounded domains, we derive necessary and sufficient conditions for the validity of the maximum principle, as well as for the existence of positive eigenfunctions for the Dirichlet problem. Relations between these principal eigenvalues, their simplicity, ā¦