Existence and bifurcation of solutions for Fredholm operators with nonlinear perturbations

DOI10.1017/S0027763000019887zbMath0525.47045OpenAlexW1607387092MaRDI QIDQ3039983

Yasuo Nikura

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1017/s0027763000019887

zbMATH Keywords

eigenvalue problembifurcationnonlinear elliptic partial differential equationsFredholm operator of index zerohomogeneous continuously Frechet differentiable mapsnon-homogeneous nonlinearity

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear elliptic equations (35J60) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Cites Work

• Loss of stability and bifurcation at a double eigenvalue
• Some global results for nonlinear eigenvalue problems

This page was built for publication: Existence and bifurcation of solutions for Fredholm operators with nonlinear perturbations