On the Morse indices of sign changing solutions of nonlinear elliptic problems
β Scribed by T. Bartsch; K.-C. Chang; Z.-Q. Wang
- Publisher
- Springer-Verlag
- Year
- 2000
- Tongue
- French
- Weight
- 181 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
In this paper, we are concerned with the existence of sign-changing solutions of a class of nonlinear elliptic systems with critical growth.
Let N β₯ 3, 2 < p < 2 \* = 2N /(N -2), Ξ΅ > 0 and β¦ be a bounded domain with a smooth boundary ββ¦ . Our purpose in this paper is to consider the multiple existence of sign changing solutions of the problem
We consider the problemu + F u (x, u) = 0 on R n , where F is a smooth function periodic of period 1 in all its variables. We are going to find a non-degeneracy condition on F for which the following holds. If we are given a sequence of positive integers { Γi } iβZ and a sequence {Ξ± i } iβZ of real