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The gradient/differential/exterior differential/divergence/curl are all strictly related first order differential operators. As far as I understood, they are the base of (co)homological theories in ...

Let $\Omega\subset\mathbb{R}^{n}$ be a bounded domain with smooth boundary and $f$ be a harmonic function on $\Omega.$ It is known that $$ \limsup_{\varepsilon\rightarrow0^{+}}\intop_{\partial\Omega_{...