Some global generalizations of the Birkhoff-Kellogg theorem and applications

DOI10.1016/0022-247X(88)90245-4zbMath0661.47049OpenAlexW2038385288MaRDI QIDQ1113075

Dajun Guo, Jingxian Sun

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90245-4

zbMATH Keywords

asymptotic bifurcation pointBirkhoff-Kellogg theoremLeray- Schauder degree theoryoperator equation with a parameterunbounded connected component

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (6)

Non-resonance and eigenvalues of nonlinear singular boundary value problems ⋮ Structure of a class of singular boundary value problem with superlinear effect. ⋮ Asymptotic bifurcation points, and global bifurcation of nonlinear operators and its applications ⋮ Professor Dajun Guo: a true mathematician and educator ⋮ Global structure of positive solution sets of nonlinear operator equations ⋮ Bifurcation of nonlinear problems modeling flows through porous media

Cites Work

• A generalization of Guo's theorem and applications
• Concave solutions of singular non-linear differential equations
• Some global results for nonlinear eigenvalue problems
• Eigenvalues of some nonlinear operators
• Boundary conditions for condensing mappings
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