Compactness properties for geometric fourth order elliptic equations with application to the <i>Q</i>-curvature flow
Compactness properties for geometric fourth order elliptic equations with application to the <i>Q</i>-curvature flow
Abstract We prove the compactness of solutions of general fourth order elliptic equations which are <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>L</m:mi> <m:mn>1</m:mn> </m:msup> </m:math> L^{1} -perturbations of the Q -curvature equation on compact Riemannian 4-manifolds. Consequently, we prove the global existence and convergence of the Q -curvature flow on a generic class …