Principal Eigenvalues and Anti – Maximum Principle for Some Quasilinear Elliptic Equations on ℝN

The Principal Eigenvalue and Maximum Pri

The Principal Eigenvalue and Maximum Principle for Second Order Elliptic Operators on Riemannian Manifolds

✍ Pablo Padilla 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 221 KB

In this paper the work of Berestycki, Nirenberg and Varadhan on the maximum principle and the principal eigenvalue for second order operators on general domains is extended to Riemannian manifolds. In particular it is proved that the refined maximum principle holds for a second order elliptic operat