2 pi-periodic self-similar solutions for the anisotropic affine curve shortening problem

We study the existence of 2 pi-periodic positive solutions of the equation u(theta theta) + u = a(theta)/u(3), where a(theta) is a positive smooth 2 pi-periodic function. A priori estimates and sufficient conditions for the existence of solutions of the equation are established.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000290728600011&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Mathematics, AppliedMathematicsSCI(E)8ARTICLE3-4535-5654