Liouville comparison principles for solutions of semilinear elliptic second-order partial differential inequalities

DOI10.1080/17476933.2012.662962zbMath1279.35055arXiv2106.08866OpenAlexW2124912496MaRDI QIDQ2855445

Vasilii V. Kurta

Publication date: 25 October 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.08866

zbMATH Keywords

ellipticcomparison principleLiouville theoremsemilinear

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Weak solutions to PDEs (35D30) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Semilinear elliptic equations (35J61) Entire solutions to PDEs (35B08) Comparison principles in context of PDEs (35B51) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (2)

A Liouville comparison principle for semilinear elliptic second-order inequalities ⋮ On the behaviour of entire solutions of semilinear elliptic second-order partial differential inequalities

Cites Work

• A Liouville comparison principle for solutions of singular quasilinear elliptic second-order partial differential inequalities
• On isolated singularities of solutions of second order elliptic differential equations
• Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity
• Controlling the space with preassigned responses
• On Harnack's theorem for elliptic differential equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• A Liouville comparison principle for solutions of semilinear elliptic partial differential inequalities

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