Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces
classification
🧮 math.AP
keywords
bootstrapintegro-differentialminimalregularitysurfacesalphaapplicationautomatically
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We prove that $C^{1,\alpha}$ $s$-minimal surfaces are automatically $C^\infty$. For this, we develop a new bootstrap regularity theory for solutions of integro-differential equations of very general type, which we believe is of independent interest.
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