Generalized principal eigenvalues of convex nonlinear elliptic operators in $\mathbb{R}^N$
Analysis of PDEs
2020-12-21 v2
Abstract
We study the generalized eigenvalue problem in for a general convex nonlinear elliptic operator which is locally elliptic and positively -homogeneous. Generalizing article of Berestycki and Rossi in [Comm. Pure Appl. Math. 68 (2015), no. 6, 1014-1065] we consider three different notions of generalized eigenvalues and compare them. We also discuss the maximum principles and uniqueness of principal eigenfunctions.
Cite
@article{arxiv.2004.06269,
title = {Generalized principal eigenvalues of convex nonlinear elliptic operators in $\mathbb{R}^N$},
author = {Anup Biswas and Prasun Roychowdhury},
journal= {arXiv preprint arXiv:2004.06269},
year = {2020}
}
Comments
21 pages. To appear in Adv. Calc. Var