Harnack principle for weakly coupled elliptic systems

DOI10.1006/jdeq.1997.3300zbMath0882.35039OpenAlexW2013004700MaRDI QIDQ1369870

Zhen-Qing Chen, Zhongxin Zhao

Publication date: 6 January 1998

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

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3300

zbMATH Keywords

Harnack inequalityharmonic measureestimates of the Green function

Mathematics Subject Classification ID

Related Items (17)

Harnack type estimates for nonlinear elliptic systems and applications ⋮ Harnack's inequality for cooperative weakly coupled elliptic systems ⋮ Asymptotic properties of jump-diffusion processes with state-dependent switching ⋮ Asymptotic analysis on positive solutions of the Lane-Emden system with nearly critical exponents ⋮ Periodic homogenization of a class of weakly coupled systems of linear PDEs ⋮ Global dynamics and traveling waves for a diffusive SEIVS epidemic model with distributed delays ⋮ Non-cooperative Fisher–KPP systems: traveling waves and long-time behavior ⋮ Traveling waves and estimation of minimal wave speed for a diffusive influenza model with multiple strains ⋮ Sign of the pulsating wave speed for the bistable competition-diffusion system in a periodic habitat ⋮ Existence of traveling wave solutions for a diffusive tuberculosis model with fast and slow progression ⋮ Ultracontractivity for Brownian motion with Markov switching ⋮ Properties of switching jump diffusions: maximum principles and Harnack inequalities ⋮ Recurrence and ergodicity of switching diffusions with past-dependent switching having a countable state space ⋮ Martingale problems for switched processes ⋮ Wave propagation of a diffusive epidemic model with latency and vaccination ⋮ Traveling waves of a delayed diffusive SIR epidemic model ⋮ Harnack inequality and long time asymptotics of unbounded additive functionals of regime-switching diffusion processes

Cites Work

• Unnamed Item
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• On the Harnack inequality for linear elliptic equations
• Strong positivity in \(C(\bar\Omega)\) for elliptic systems
• An elementary proof of Harnack's inequality for Schrödinger operators and related topics
• Le problème de Dirichlet pour l'opérateur de Schrödinger
• Uniform bounds for quotients of Green functions on \(C^{1,1}\)-domains
• Averaging principle for perturbed random evolution equations and corresponding Dirichlet problems
• Principle de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien
• Principal eigenvalues and equilibrium states corresponding to weakly coupled parabolic systems of PDE
• Potential theory for elliptic systems
• Harnack's Inequality for Schrodinger Operators and the Continuity of Solutions
• Schrödinger semigroups
• On the dirichlet problem for a class of second order pde systems with small parameter
• Conditional gauge with unbounded potential
• Brownian motion and harnack inequality for Schrödinger operators
• Switched diffusion processes and systems of elliptic equations: a Dirichlet space approach
• From Brownian Motion to Schrödinger’s Equation

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