Qualitative properties for solutions of singular elliptic inequalities on complete manifolds

DOI10.1016/j.jde.2006.11.013zbMath1143.35099OpenAlexW2030853157MaRDI QIDQ872015

James Serrin, Marco Rigoli, Patrizia Pucci

Publication date: 27 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.jde.2006.11.013

zbMATH Keywords

dead coresstrong maximum principlecompact support principlesquasilinear singular elliptic inequalities on manifolds

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Maximum principles in context of PDEs (35B50) Degenerate elliptic equations (35J70) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Elliptic equations on manifolds, general theory (58J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (13)

Yamabe type equations with a sign-changing nonlinearity, and the prescribed curvature problem ⋮ Generalized Harnack inequality for semilinear elliptic equations ⋮ On the compact support principle on complete manifolds ⋮ Keller-Osserman type conditions for differential inequalities with gradient terms on the Heisenberg group ⋮ Spectral and stochastic properties of the \(f\)-Laplacian, solutions of PDEs at infinity and geometric applications ⋮ Qualitative properties of bounded subsolutions of nonlinear PDEs ⋮ Non-existence of entire solutions of degenerate elliptic inequalities with weights ⋮ The compact support principle for differential inequalities with gradient terms ⋮ Quasilinear elliptic inequalities on complete Riemannian manifolds ⋮ Positive solutions for quasilinear elliptic inequalities and systems with nonlocal terms ⋮ Analytic and geometric properties of generic Ricci solitons ⋮ On the equivalence of stochastic completeness and Liouville and Khas’minskii conditions in linear and nonlinear settings ⋮ On nonexistence of positive solutions of quasi-linear inequality on Riemannian manifolds

Cites Work

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• Function theory on manifolds which possess a pole
• The maximum principle
• Positive solutions of Yamabe type equations on complete manifolds and applications
• The strong maximum principle revisited.
• Volume growth, ``a priori estimates, and geometric applications
• Maximum principles and singular elliptic inequalities
• Differential equations on riemannian manifolds and their geometric applications
• Maximum principles on Riemannian manifolds and applications
• Dead Cores and Bursts for Quasilinear Singular Elliptic Equations
• Elliptic equations and products of positive definite matrices

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