Optimal lower bounds for the spectrum of a second order linear differential equation with ap-integrable coefficient

DOI10.1017/S030821050001996XzbMath0506.34027WikidataQ115335891 ScholiaQ115335891MaRDI QIDQ4743111

E. J. M. Veling

Publication date: 1982

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Sturm-Liouville problemlower bound spectrumsingular second order linear differential equation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear ordinary differential equations and systems (34A30) Inequalities involving derivatives and differential and integral operators (26D10) Ordinary differential operators (34L99)

Related Items (4)

Maximal and minimal eigenvalues and their associated nonlinear equations ⋮ Lower bounds for the spectrum of a second order linear differential equation with a coefficient whose negative part is p-integrable ⋮ The spectrum of a one-dimensional pseudo-differential operator ⋮ Upper and lower bounds for the optimal constant in the extended Sobolev inequality. Derivation and numerical results

Cites Work

• On the Fisher and the cubic-polynomial equations for the propagation of species properties
• An estimate for the best constant in a Sobolev inequality involving three integral norms
• On the Spectrum of a Second Order Linear Differentia! Equation with a p-integrable Coefficient!

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