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- W3088411704 abstract "We prove an integral representation formula for the distributional normal derivative of solutions of $$begin{aligned} {left{ begin{array}{ll} begin{aligned} - Delta u + V u &{}= mu &{}&{} text {in }Omega , u &{}= 0 &{}&{} text {on }partial Omega , end{aligned} end{array}right. } end{aligned}$$ where $$V in L_mathrm {loc}^1(Omega )$$ is a nonnegative function and $$mu $$ is a finite Borel measure on $$Omega $$ . As an application, we show that the Hopf lemma holds almost everywhere on $$partial Omega $$ when $$V$$ is a nonnegative Hopf potential." @default.
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- W3088411704 date "2020-09-15" @default.
- W3088411704 modified "2023-10-17" @default.
- W3088411704 title "A representation formula for the distributional normal derivative" @default.
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- W3088411704 doi "https://doi.org/10.1007/s13163-020-00371-x" @default.
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