We establish some framework so that the generalized Conley
index can be easily used to study the multiple solution problem of semilinear elliptic
boundary value problems. Both the parabolic flow and the gradient
flow are used. Some examples are given to compare our approach here with
other well-known methods. Our abstract results with parabolic flows may
have applications to parabolic problems as well.
Publié le : 1996-05-14
Classification:
Conley index,
elliptic equation,
critical point theory,
fixed point index,
superlinear
problem,
35J65,
35K20,
47H17,
58E05
@article{1049725994,
author = {Dancer, E. N. and Du, Yihong},
title = {The generalized Conley index and multiple solutions of semilinear elliptic problems},
journal = {Abstr. Appl. Anal.},
volume = {1},
number = {1},
year = {1996},
pages = { 103-135},
language = {en},
url = {http://dml.mathdoc.fr/item/1049725994}
}
Dancer, E. N.; Du, Yihong. The generalized Conley index and multiple solutions of semilinear elliptic problems. Abstr. Appl. Anal., Tome 1 (1996) no. 1, pp. 103-135. http://gdmltest.u-ga.fr/item/1049725994/