Upper and lower bounds for eigenvalues of nonlinear elliptic equations: I. The lowest eigenvalue

DOI10.1063/1.525746zbMath0511.35067OpenAlexW2060580825WikidataQ59158407 ScholiaQ59158407MaRDI QIDQ4748485

M. Cristina Depassier, Rafael D. Benguria

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525746

zbMATH Keywords

lowest eigenvalueBarta's method

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (7)

Global \(L^ 2\)-bifurcation of nonlinear Sturm-Liouville problems ⋮ Variational methods for NLEV approximation near a bifurcation point ⋮ Asymptotic behavior of bifurcation curve for Sine-Gordon-type differential equation ⋮ Spectral asymptotics for nonlinear non-autonomous elliptic eigenvalue problems in a ball ⋮ Approximation and convergence rate of nonlinear eigenvalues: Lipschitz perturbations of a bounded self-adjoint operator ⋮ Local structure of bifurcation curves for nonlinear Sturm-Liouville problems ⋮ Upper and lower bounds for higher order eigenvalues of some semilinear elliptic equations

Cites Work

• Le nombre de solutions de certains problèmes semi-linéaires elliptiques
• The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
• A comparison theorem for differential inequalities with applications in quantum mechanics
• Some remarks on Hartree equation
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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