Abstract
ABSTRACT We develop a method to compute the -cohomology critical groups for strongly indefinite functionals. The abstract theory is applied to prove the existence of (multiple) nontrivial solutions for asymptotically linear beam equations and noncooperative elliptic systems with unbounded sign-changing nonlinear terms and with resonance both at infinity and at zero. This work was partially supported by NSFC (10001019) and the Swedish Institute, the Swedish Royal Academy of Sciences of Sweden.
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