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Nontrivial solutions for resonant noncooperative elliptic systems
Author(s) -
Guo Yuxia
Publication year - 2000
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/1097-0312(200011)53:11<1335::aid-cpa1>3.0.co;2-3
Subject(s) - mathematics , infinity , morse theory , morse code , zero (linguistics) , elliptic curve , pure mathematics , mathematical analysis , computer science , telecommunications , linguistics , philosophy
In this paper, by introducing some new conditions, we study the nontrivial (multiple) solutions for resonant noncooperative elliptic systems. Our main ingredients are using a new version of Morse theory for strongly indefinite functionals and precisely computing the critical groups of the associated variational functionals at zero and at infinity. © 2000 John Wiley & Sons, Inc.