Nonoscillation theory of elliptic equations of order \(2n\)

DOI10.2140/pjm.1976.64.1zbMath0308.35006OpenAlexW2076440832MaRDI QIDQ1218577

Walter Allegretto

Publication date: 1976

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

Full work available at URL: https://doi.org/10.2140/pjm.1976.64.1

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (18)

A sequence of weighted Birman-Hardy-Rellich inequalities with logarithmic refinements ⋮ Sharp nonoscillation theorems for even-order elliptic equations ⋮ Hardy-Rellich inequalities in domains of the Euclidean space ⋮ Optimality of constants in power-weighted Birman-Hardy-Rellich-Type inequalities with logarithmic refinements ⋮ Singular Elliptic Operators of Second Order with Purely Discrete Spectra ⋮ Sharp constants in the Hardy-Rellich inequalities ⋮ Sturmian theory of second-order elliptic differential equations and inequalities ⋮ Rellich inequalities with weights ⋮ Existence and stability of entire solutions to a semilinear fourth order elliptic problem ⋮ Rellich type inequalities with weights in plane domains ⋮ On the Caffarelli-Kohn-Niremberg type inequalities and related topics ⋮ The Oscillation of Elliptic Systems ⋮ Eigenvalues Below the Essential Spectra of Singular Elliptic Operators ⋮ Some notes on the critical Hardy inequalities ⋮ Nonoscillation Theorems for Nonselfadjoint Even‐Order Elliptic Equations ⋮ Über die Kneser-Konstante der Differentialgleichung (−δ) m u+q(x)u=0 ⋮ Nonoscillation Criteria for Elliptic Equations in Conical Domains ⋮ Existence and stability properties of entire solutions to the polyharmonic equation \((-\Delta)^{m}u=e^{u}\) for any \(m\geq 1\)

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