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Subharmonic solutions of the prescribed curvature equation

Subharmonic solutions of the prescribed curvature equation

We study the existence of subharmonic solutions of the prescribed curvature equation [Formula: see text] According to the behavior at zero, or at infinity, of the prescribed curvature [Formula: see text], we prove the existence of arbitrarily small classical subharmonic solutions, or bounded variation subharmonic solutions with arbitrarily large oscillations.