On comparison theorems for elliptic inequalities

DOI10.1016/J.JMAA.2011.11.048zbMath1234.35326arXiv1009.0705OpenAlexW2158607468MaRDI QIDQ662053

Andrej A. Kon'kov

Publication date: 11 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0705

zbMATH Keywords

unbounded domainsnonlinear elliptic operator

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

Related Items (7)

Generalized Harnack inequality for semilinear elliptic equations ⋮ Keller-Osserman a priori estimates and the Harnack inequality for the evolution \(p\)-Laplace equation with singular absorption term ⋮ On solutions of quasilinear elliptic inequalities containing terms with lower-order derivatives ⋮ On properties of solutions of quasilinear second-order elliptic inequalities ⋮ Harnack's inequality for quasilinear elliptic equations with singular absorption term ⋮ Comparison theorems for elliptic inequalities with lower-order derivatives that take into account the geometry of the domain ⋮ Keller-Osserman a priori estimates and the Harnack inequality for quasilinear elliptic and parabolic equations with absorption term

Cites Work

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• On the inequality \(\Delta u \geqq f (u)\)
• Comparison theorems for elliptic inequalities with a nonlinearity in the principal part
• Comportement asymptotique des solutions d'équations elliptiques semi-linéaires dans \(\mathbb R^ N\)
• Local behavior of solutions of quasi-linear equations
• Linear and quasilinear elliptic equations
• On solutions of δu=f(u)

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