A probabilistic approach to a theorem of Gilbarg and Serrin

DOI10.1007/BF02777812zbMath0756.35021MaRDI QIDQ1180397

Ross G. Pinsky

Publication date: 27 June 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Harnack's inequalityLiouville-type result

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Diffusion processes and stochastic analysis on manifolds (58J65) Probabilistic measure theory (60A10) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Asymptotics of the principal eigenvalue and expected hitting time for positive recurrent elliptic operators in a domain with a small puncture ⋮ On positive Liouville theorems and asymptotic behavior of solutions of Fuchsian type elliptic operators ⋮ Positive Harmonic Functions Vanishing on the Boundary for the Laplacian in Unbounded Horn-Shaped Domains ⋮ Simulation of diffusions by means of importance sampling paradigm

Cites Work

• On the Harnack inequality for linear elliptic equations
• On isolated singularities of solutions of second order elliptic differential equations
• Nonnegative ricci curvature and the brownian coupling property
• Unnamed Item
• Unnamed Item
• Unnamed Item