Liouville type theorems for elliptic equations with gradient terms

DOI10.1007/s00032-013-0197-zzbMath1268.35052OpenAlexW2101182244MaRDI QIDQ1949827

Alexander Quaas, Salomón Alarcón, Jorge García-Melián

Publication date: 17 May 2013

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

Full work available at URL: http://hdl.handle.net/10533/127452

zbMATH Keywords

supersolutionsLiouville theoremsgradient termHadamard property

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (13)

Classification of supersolutions and Liouville theorems for some nonlinear elliptic problems ⋮ A note on the nonexistence of positive supersolutions to elliptic equations with gradient terms ⋮ Liouville results for fully nonlinear integral elliptic equations in exterior domains ⋮ Existence and regularity of nonlinear advection problems ⋮ On positive supersolutions of fractional elliptic equations with gradient terms ⋮ Positive supersolutions of non-autonomous quasilinear elliptic equations with mixed reaction ⋮ Liouville type theorems for degenerate parabolic systems with advection terms ⋮ Explicit estimates on positive supersolutions of nonlinear elliptic equations and applications ⋮ Liouville theorems for supersolutions of semilinear elliptic equations with drift terms in exterior domains ⋮ Study of the existence of supersolutions for nonlocal equations with gradient terms ⋮ Liouville theorems for elliptic systems with nonlinear gradient terms ⋮ Liouville theorems for nonlinear elliptic equations in half-spaces ⋮ On the classification of positive supersolutions of elliptic systems involving the advection terms

Cites Work

• Unnamed Item
• Unnamed Item
• Fundamental solutions and Liouville type theorems for nonlinear integral operators
• Positive supersolutions to general nonlinear elliptic equations in exterior domains
• On positive solutions of Emden equations in cone-like domains
• The maximum principle
• Non-existence of positive solutions of fully nonlinear elliptic equations in unbounded domains
• Liouville-type results for semilinear elliptic equations in unbounded domains
• Existence and non-existence results for ground states of quasilinear elliptic equations
• Superlinear indefinite elliptic problems and nonlinear Liouville theorems
• On the Liouville property for fully nonlinear equations
• Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains.
• The speed of propagation for KPP type problems. I: Periodic framework
• Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
• Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
• On Liouville type theorems for fully nonlinear elliptic equations with gradient term
• Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle
• Sharp Liouville results for fully nonlinear equations with power-growth nonlinearities
• On the Existence and Nonexistence of Global Solutions of Reaction-Diffusion Equations in Sectorial Domains
• Positive super-solutions to semi-linear second-order non-divergence type elliptic equations in exterior domains
• A priori bounds for positive solutions of nonlinear elliptic equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Hadamard and Liouville Type Results for Fully Nonlinear Partial Differential Inequalities
• Nonexistence results and estimates for some nonlinear elliptic problems

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