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Article Contents

# Two nontrivial solutions for periodic systems with indefinite linear part

• We consider second order periodic systems with a nonsmooth potential and an indefinite linear part. We impose conditions under which the nonsmooth Euler functional is unbounded. Then using a nonsmooth variant of the reduction method and the nonsmooth local linking theorem, we establish the existence of at least two nontrivial solutions.
Mathematics Subject Classification: Primary: 34C25; Secondary: 49J40.

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