A classification of solutions of certain nonlinear differential inequalities with application to theorems of Liouville type

DOI10.1007/BF01164020zbMath0617.35137OpenAlexW2031779654MaRDI QIDQ1821971

Raymond M. Redheffer

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173749

zbMATH Keywords

differential inequalitybounded solutionsecond-order elliptic differential operatorMeyers- Serrin dimension

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Partial differential inequalities and systems of partial differential inequalities (35R45) Second-order elliptic equations (35J15)

Related Items (3)

Nonexistence results of entire solutions for superlinear elliptic inequalities ⋮ Ordinary differential equations in the oscillation theory of partial half-linear differential equation ⋮ Positive solutions of the \(p\)-Laplacian involving a superlinear nonlinearity with zeros

Cites Work

• Unnamed Item
• Unnamed Item
• A differential inequality
• Nonlinear partial differential inequalities
• On the inequality \(\Delta u\geq f(u, |grad u|)\)
• ON CERTAIN LIOUVILLE-TYPE THEOREMS OF NEHARI, GOYAL AND SCHAEFER
• Liouville theorems for elliptic systems and nonlinear equations of fourth order
• Sur la solution bornée de l'équation aux dérivées partielles du type elliptique

This page was built for publication: A classification of solutions of certain nonlinear differential inequalities with application to theorems of Liouville type