Global structure of positive solution sets of nonlinear operator equations
DOI10.1007/s00605-010-0265-1zbMath1246.47013OpenAlexW1994806211MaRDI QIDQ662408
Jingxian Sun, Xian Xu, Donal O'Regan
Publication date: 22 February 2012
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-010-0265-1
positive solutiontopological degreeglobal bifurcationfixed point indexnonlinear eigenvalue problemsasymptotic bifurcation
Nonlinear boundary value problems for linear elliptic equations (35J65) Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Abstract bifurcation theory involving nonlinear operators (47J15) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)
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