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Global topological perturbations of nonlinear elliptic eigenvalue problems
Author(s) -
Peitgen H. O.,
Schmitt K.,
Kirchgassner K.
Publication year - 1983
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670050125
Subject(s) - mathematics , infinity , bifurcation , nonlinear system , eigenvalues and eigenvectors , perturbation (astronomy) , mathematical analysis , elliptic curve , physics , quantum mechanics
This paper is concerned with bifurcation from infinity for nonlinear elliptic equations, which are not necessarily linearizable at infinity. The methods employed are global perturbation techniques by means of which one obtains access to continua of positive solutions bifurcating from infinity via continua bifurcating from trivial solutions.