✦ LIBER ✦

On the principal eigenvalue of second-order elliptic differential operators

✍ Scribed by M. D. Donsker; S. R. S. Varadhan

Publisher: John Wiley and Sons
Year: 1976
Tongue: English
Weight: 778 KB
Volume: 29
Category: Article
ISSN: 0010-3640
DOI: 10.1002/cpa.3160290606

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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

Integral theorems for eigenfunctions of

Integral theorems for eigenfunctions of second-order elliptic differential operators

✍ E. Müller-Pfeiffer; J. Staude 📂 Article 📅 1980 🏛 John Wiley and Sons 🌐 English ⚖ 467 KB 👁 1 views

HILBERT space L,(D) where the coefficients always fulfil the following conditions. ## i) ii) a@), q(z) E Cl(l2) and real-valued, a&) = a@), x E D, ( 7) Denoting the domain of the FRIEDRICHS extension A by D(A) we have W ) r H A . 5 mR"). 1) W#W) is the completion of Com(Rn) in the norm Ilullw&BT8

On the principal eigenvalue of degenerat

On the principal eigenvalue of degenerate quasilinear elliptic systems

✍ Nikolaos B. Zographopoulos 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 214 KB

## Abstract We study the properties of the positive principal eigenvalue of a degenerate quasilinear elliptic system. We prove that this eigenvalue is simple, unique up to positive eigenfunctions and isolated. Under certain restrictions on the given data, the regularity of the corresponding eigenfu

Eigenvalue Distribution of Elliptic Oper

Eigenvalue Distribution of Elliptic Operators of Second Order with Neumann Boundary Conditions in a Snowflake Domain

✍ Günter Berger 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 284 KB 👁 1 views

A minimum principle for the principal ei

A minimum principle for the principal eigenvalue for second-order linear elliptic equations with natural boundary conditions

✍ Charles J. Holland 📂 Article 📅 1978 🏛 John Wiley and Sons 🌐 English ⚖ 402 KB 👁 1 views

Solution of boundary and eigenvalue prob

Solution of boundary and eigenvalue problems for second-order elliptic operators in the plane using pseudoanalytic formal powers

✍ Raúl Castillo Pérez; Vladislav V. Kravchenko; Rabindranath Reséndiz Vázquez 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 262 KB

## Communicated by G. Franssens We propose a method for solving boundary value and eigenvalue problems for the elliptic operator D = div p grad+q in the plane using pseudoanalytic function theory and in particular pseudoanalytic formal powers. Under certain conditions on the coefficients p and q w