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Existence of nontrival n-harmonic maps via min-max methods

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For any n ≥ 3 and any closed manifold N with π n + k ( N ) ≠ { 0 } for some k ≥ 0 , we establish the existence of nontrivial n-harmonic maps from S n into N . When k ≥ 1 , these maps naturally appear as bubbling limits of ... ...