Nonlinear eigenvalue problems and spherical fibrations of Banach spaces

DOI10.1016/0022-1236(75)90015-4zbMath0313.35034OpenAlexW2013844659MaRDI QIDQ1220212

R. C. Riddell

Publication date: 1975

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(75)90015-4

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Related Items

Minimax problems on Grassmann manifolds. Sums of eigenvalues, Eigenvalue problems for nonlinear elliptic variational inequalities, Estimates for eigenvalues of quasilinear elliptic systems. II., Eigenvalues of the \(p\)-Laplacian and disconjugacy criteria, Estimates for eigenvalues of quasilinear elliptic systems, Eigenvalue problems for nonlinear elliptic variational inequalities on a cone, The Ljusternik-Schnirelman theory for indefinite and not necessarily odd nonlinear operators and its applications, Nodal properties and variational characterizations of solutions to nonlinear Sturm-Liouville problems

Cites Work

• Homotopy theory of infinite dimensional manifolds
• Lusternik-Schnirelman theory on Banach manifolds
• Global properties of the minimal branch of a class of nonlinear variational problems
• Asymptotic fixed point theorems
• Spectral theory of monotone Hammerstein operators
• The category of a map and of a cohomology class
• Nonlinear Eigenvalue Problems and Group Invariance
• Heavy rotating string—a nonlinear eigenvalue problem
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