Principal eigenvalues of a class of nonlinear integro-differential operators

DOI10.1016/j.jde.2019.11.011zbMath1431.35093arXiv1803.02040OpenAlexW2985240718WikidataQ126790249 ScholiaQ126790249MaRDI QIDQ2297257

Anup Biswas

Publication date: 18 February 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02040

zbMATH Keywords

Dirichlet problemprincipal eigenvalueanti-maximum principlefractional Laplaciannonlocal operators

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60)

Related Items (8)

Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications ⋮ Existence-Uniqueness for Nonlinear Integro-differential Equations with Drift in \({\boldsymbol{\mathbb{R}}^{{\textrm{d}}}}\) ⋮ Ambrosetti-Prodi type results for Dirichlet problems of fractional Laplacian-like operators ⋮ Viscosity Solutions for Nonlocal Equations with Space-Dependent Operators ⋮ Boundary regularity of mixed local-nonlocal operators and its application ⋮ Hopf's lemma for viscosity solutions to a class of non-local equations with applications ⋮ Maximum principles and Liouville results for uniformly elliptic nonlocal Bellman system ⋮ Generalized principal eigenvalues on \({\mathbb{R}}^d\) of second order elliptic operators with rough nonlocal kernels

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