A-priori bounds and asymptotics on the eigenvalues in bifurcation problems for perturbed self-adjoint operators

DOI10.1016/j.jmaa.2008.12.061zbMath1193.47064OpenAlexW2009486194MaRDI QIDQ1018184

Raffaele Chiappinelli

Publication date: 13 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.12.061

zbMATH Keywords

gradient operatorhomogeneous operatorsemilinear elliptic eigenvalue problembifurcating familyisolated eigenvalue of finite multiplicity

Mathematics Subject Classification ID

Perturbations of nonlinear operators (47H14) Abstract bifurcation theory involving nonlinear operators (47J15) Semilinear elliptic equations (35J61)

Related Items (8)

Asymptotic behavior of the bifurcation diagrams for semilinear problems with application to inverse bifurcation problems ⋮ Variational methods for NLEV approximation near a bifurcation point ⋮ \(L^2\)-inverse spectral problems for diffusive logistic equations of population dynamics ⋮ Bifurcation of gradient mappings possessing the Palais-Smale condition ⋮ Approximation and convergence rate of nonlinear eigenvalues: Lipschitz perturbations of a bounded self-adjoint operator ⋮ Inverse bifurcation problems for diffusive logistic equation of population dynamics ⋮ Local structure of bifurcation curves for nonlinear Sturm-Liouville problems ⋮ Upper and lower bounds for higher order eigenvalues of some semilinear elliptic equations

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• ASYMPTOTIC BIFURCATION RESULTS FOR QUASILINEAR ELLIPTIC OPERATORS
• The Fredholm alternative for the p-Laplacian: Bifurcation from infinity, existence and multiplicity
• Branching of Solutions of Nonlinear Equations

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