Periodic solutions of the L_p-Minkowski problem with indefinite weight

Abstract

We provide a new sufficient condition for the existence of a periodic solution of the singular differential equation $ u''+u = \frac{h(t)}{u^\rho}, $ which is associated with the planar $ L_p $-Minkowski problem. A similar result is valid for the conformal version of the problem.

Keywords

• l_p-minkowski problem
• singular differential equation
• indefinite weight
• periodic solution