Second order elliptic operators with periodic coefficients: Criticality theory, perturbations, and positive harmonic functions

From MaRDI portal
Publication:1891818

DOI10.1006/jfan.1995.1043zbMath0826.35030OpenAlexW2037255801MaRDI QIDQ1891818

Ross G. Pinsky

Publication date: 14 June 1995

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1995.1043




Related Items (19)

On the definition and the properties of the principal eigenvalue of some nonlocal operatorsGreen's function asymptotics of periodic elliptic operators on abelian coverings of compact manifoldsExistence of multi-dimensional pulsating fronts for KPP equations: a new formulation approachConvergence to pulsating traveling waves with minimal speed in some KPP heterogeneous problemsQualitative properties of monostable pulsating fronts: Exponential decay and monotonicityAsymptotics of Green functions and Martin boundaries for elliptic operators with periodic coefficients.On generalized principal eigenvalues of nonlocal operators with a driftGreen's function asymptotics near the internal edges of spectra of periodic elliptic operators. Spectral edge caseA Liouville-type theorem for Schrödinger operatorsIntegral representations and Liouville theorems for solutions of periodic elliptic equationsAnalysis of the periodically fragmented environment model. I: Species persistenceLiouville theorems and spectral edge behavior on abelian coverings of compact manifoldsParabolic Martin boundaries and asymptotic formulas of heat kernels for one-dimensional elliptic operators with periodic coefficientsOn the principal eigenvalue of elliptic operators in \(\mathbb R^N\) and applicationsThe principal eigenvalue of a space-time periodic parabolic operatorAn overview of periodic elliptic operatorsOn positivity, criticality, and the spectral radius of the shuttle operator for elliptic operatorsLiouville type results for periodic and almost periodic linear operatorsSchrödinger operators with few bound states




This page was built for publication: Second order elliptic operators with periodic coefficients: Criticality theory, perturbations, and positive harmonic functions