Isolas: compact solution components separated away from a given equilibrium curve
Cano-Casanova, Santiago ; López-Gómez, Julián ; Molina-Meyer, Marcela
Hiroshima Math. J., Tome 34 (2004) no. 1, p. 177-199 / Harvested from Project Euclid
In this paper some continuation techniques based on the implicit function theorem are combined with the topological degree to show the existence of solution isolas, with respect to a given state, for a class of weighted boundary value problems of superlinear indefinite elliptic type. No result of this nature seems to be available in the literature. Further, pseudo-spectral methods coupled with path following solvers are used to compute these isolas in some simple one-dimensional prototype models.
Publié le : 2004-07-14
Classification:  47J15,  35B60,  35J60,  47H11,  47N20,  65N35
@article{1150998161,
     author = {Cano-Casanova, Santiago and L\'opez-G\'omez, Juli\'an and Molina-Meyer, Marcela},
     title = {Isolas: compact solution components separated away from a given equilibrium curve},
     journal = {Hiroshima Math. J.},
     volume = {34},
     number = {1},
     year = {2004},
     pages = { 177-199},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1150998161}
}
Cano-Casanova, Santiago; López-Gómez, Julián; Molina-Meyer, Marcela. Isolas: compact solution components separated away from a given equilibrium curve. Hiroshima Math. J., Tome 34 (2004) no. 1, pp.  177-199. http://gdmltest.u-ga.fr/item/1150998161/