ScalingStacks

Corollary 5.17 . [04F6]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Corollary 5.17.

(Potential oscillation bound) Assume LL is an exact, immersed, compact Lagrangian, satisfying the almost calibrated condition, such that the Lagrangian potential fLf_{L} has connected range. Then the potential fLf_{L} has an a priori bound

supLfL−infLfL≤C.\sup_{L}f_{L}-\inf_{L}f_{L}\leq C.

Original mathematics by the credited authors. Source-backed reader collection; mathematical self-containment is not assessed.