Upper and lower bounds for higher order eigenvalues of some semilinear elliptic equations

DOI10.1016/j.amc.2010.05.050zbMath1195.65161OpenAlexW2049423772MaRDI QIDQ988637

Raffaele Chiappinelli

Publication date: 18 August 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.05.050

zbMATH Keywords

semilinear elliptic equationseigenvaluesnontrivial solutionupper and lower boundseigenfunctionSobolev inequalitybifurcating family

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61)

Related Items (7)

Asymptotic behavior of the bifurcation diagrams for semilinear problems with application to inverse bifurcation problems ⋮ Variational methods for NLEV approximation near a bifurcation point ⋮ Asymptotic Approach to Inverse Bifurcation for Nonlinear Sturm-Liouville Problems ⋮ Bifurcation of gradient mappings possessing the Palais-Smale condition ⋮ Inverse bifurcation problems for diffusive logistic equation of population dynamics ⋮ Unnamed Item ⋮ Asymptotic behavior of bifurcation curve of nonlinear eigenvalue problem with logarithmic nonlinearity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global behavior of the branch of positive solutions for nonlinear Sturm-Liouville problems
• A-priori bounds and asymptotics on the eigenvalues in bifurcation problems for perturbed self-adjoint operators
• Remarks on bifurcation for elliptic operators with odd nonlinearity
• Best constant in Sobolev inequality
• Bifurcation from eigencurves of the \(p\)-Laplacian
• Precise spectral asymptotics for nonlinear Sturm-Liouville problems
• Deformation of domain and the limit of the variational eigenvalues of semilinear elliptic operators
• Some global results for nonlinear eigenvalue problems
• New expansions of numerical eigenvalues for $-\Delta u=\lambda \rho u$ by nonconforming elements
• On nonlinear eigenvalue problems
• ASYMPTOTIC BIFURCATION RESULTS FOR QUASILINEAR ELLIPTIC OPERATORS
• Upper and lower bounds for eigenvalues of nonlinear elliptic equations: I. The lowest eigenvalue

This page was built for publication: Upper and lower bounds for higher order eigenvalues of some semilinear elliptic equations