Maximal and minimal eigenvalues and their associated nonlinear equations

DOI10.1063/1.527488zbMath0628.47032OpenAlexW2036935649MaRDI QIDQ3764759

Mark S. Ashbaugh, Evans M. II. Harrell

Publication date: 1987

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527488

zbMATH Keywords

Schrödinger operatorsperturbationsoptimization of eigenvaluesoptimizing potentialsbest constants in Sobolev's inequalityoscillator problem with ``instanton propertiesspectral theory of uniformly elliptic operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) General theory of partial differential operators (47F05) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Related Items

On a non-homogeneous eigenvalue problem involving a potential: an Orlicz-Sobolev space setting, On the optimization of the first weighted eigenvalue, Concentration phenomena in nonlinear eigenvalue problems with variable exponents and sign-changing potential, Optimal potentials for Schrödinger operators, Periodic Potentials with Minimal Energy Bands, An optimization problem for the first weighted eigenvalue problem plus a potential, Optimization of the characteristic values of Hill's equation subject to a p-norm constraint on the potential, Recovery of the nearest potential field from the \(m\) observed eigenvalues, Critical potentials of the eigenvalues and eigenvalue gaps of Schrödinger operators, Unnamed Item, Improved energy bounds for Schrödinger operators

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