Failure of Interior Hölder and Gradient Estimates for the Subcritical Special Lagrangian Equation
Zhenyu Fan, Caiyan Li, Zhehui Wang
Abstract
For every n3, we show, by a family of explicit entire real-analytic solutions, that, for every subcritical phase and every 0<α1, oscillation-based interior Cα estimates fail for the special Lagrangian equation in Rn. In fact, this family has no common interior modulus of continuity.
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