We establish a general theorem improving regularity of solutions of elliptic pseudodifferential equations. It allows to resolve in a unified way the regularity issue for a broad class of nonlinear elliptic equations and systems appearing in different areas of geometry and analysis.
Critical regularity for elliptic equations from Littlewood-Paley theory
Blow-up solutions of nonlinear elliptic equations in R^n with critical exponent
Sharp existence and classification results for nonlinear elliptic equations in $\mathbb R^N\setminus\{0\}$ with Hardy potential
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