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Multiple Solutions for Asymptotically Linear Elliptic Systems

✍ Scribed by Wenming Zou

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
148 KB
Volume
255
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this article, we consider cooperative and noncooperative elliptic systems that are asymptotically linear at infinity. We obtain infinitely many solutions with small energy if the potential is even. If the noncooperative system is resonant both at zero and at infinity, then the number of nontrivial solutions depends on the dimension of the eigenspaces between resonant values.

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