An estimate on the eigenvalues in bifurcation for gradient mappings

DOI10.1017/S0017089500032080zbMath0879.47034MaRDI QIDQ4352105

Raffaele Chiappinelli

Publication date: 19 January 1998

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

nonlinear eigenvalue problemnonlinear operatorbifurcation pointsemilinear elliptic boundary value problemsbounded domainminimax argumentstheorem of Krasnosel'skijbifurcation of gradient mappings

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Equations involving nonlinear operators (general) (47J05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (5)

Variational methods for NLEV approximation near a bifurcation point ⋮ \(L^2\)-inverse spectral problems for diffusive logistic equations of population dynamics ⋮ Numerical solution for the nonlinear eigenvalue problems in bifurcation points ⋮ Bifurcation of gradient mappings possessing the Palais-Smale condition ⋮ A-priori bounds and asymptotics on the eigenvalues in bifurcation problems for perturbed self-adjoint operators

Cites Work

• Ljusternik-Schnirelman theory and non-linear eigenvalue problems
• Unnamed Item

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