On the inequality \(\Delta u\geq f(u, |grad u|)\)

DOI10.1016/0022-247X(60)90002-0zbMath0116.07502MaRDI QIDQ2625726

Raymond M. Redheffer

Publication date: 1960

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

zbMATH Keywords

partial differential equations

Related Items (22)

Maximum principle at infinity for complete minimal surfaces in flat 3-manifols ⋮ Phragmén-Lindelöf theorems for nonlinear elliptic equations ⋮ On the radial solutions of a system with weights under the Keller-Osserman condition ⋮ Unnamed Item ⋮ Liouville's theorem for the drifting Laplacian ⋮ Asymptotic behavior of solutions of elliptic equations. I: Liouville-type theorems for linear and nonlinear equations on \(R^ n\). ⋮ On the role of gradient terms in coercive quasilinear differential inequalities on Carnot groups ⋮ Nonexistence results of entire solutions for superlinear elliptic inequalities ⋮ Entire solutions of quasilinear elliptic equations ⋮ Schauder estimates and existence theory for entire solutions of linear elliptic equations ⋮ Liouville Type Theorems for Non-linear Differential Inequalities on Carnot Groups ⋮ A differential inequality ⋮ Nonexistence of positive weak solutions of elliptic inequalities ⋮ Entire solutions of Δ^pu = f(r, u) ⋮ Liouville theorems for a class of fourth order elliptic equations ⋮ Eigenvalues Below the Essential Spectra of Singular Elliptic Operators ⋮ A classification of solutions of certain nonlinear differential inequalities with application to theorems of Liouville type ⋮ Bemerkungen über Monotonie und Fehlerabschätzung bei nichtlinearen partiellen Differentialgleichungen ⋮ Liouville theorems for elliptic systems of arbitrary order ⋮ Liouville theorems for elliptic systems and nonlinear equations of fourth order ⋮ Phragmen-Lindelöf and nonexistence theorems for nonlinear elliptic equations ⋮ Maximum principles and singular elliptic inequalities

Cites Work

• Unnamed Item
• Über ganze Lösungen der Differentialgleichung \(\Delta u=f(u)\)
• An extension of E. Hopf's maximum principle with an application to Riemannian geometry
• On the inequality \(\Delta u \geqq f (u)\)
• Maximum principles and duality
• The maximum modulus
• Ganze Lösungen der Differentialgleichung \(\Delta u=e^u\)
• On solutions of δu=f(u)
• ON ENTIRE SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS
• Summation of a Series of Polynomials of Laguerre
• A Note on Unrestricted Solutions of the Differential Equation Δu =f (u )

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