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- W4385714672 abstract "We consider Orlicz--Laplace equation $-div(frac{varphi'(|nabla u|)}{|nabla u|}nabla u)=f$ where $varphi$ is an Orlicz function and either $f=0$ or $fin L^infty$. We prove local second order regularity results for the weak solutions $u$ of the Orlicz--Laplace equation. More precisely, we show that if $psi$ is another Orlicz function that is close to $varphi$ in a suitable sense, then $frac{psi'(|nabla u|)}{|nabla u|}nabla uin W^{1,2}_{loc}$. This work contributes to the building up of quantitative second order Sobolev regularity for solutions of nonlinear equations." @default.
- W4385714672 created "2023-08-10" @default.
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- W4385714672 date "2023-08-08" @default.
- W4385714672 modified "2023-10-14" @default.
- W4385714672 title "Local second order regularity of solutions to elliptic Orlicz-Laplace equation" @default.
- W4385714672 doi "https://doi.org/10.48550/arxiv.2308.04038" @default.
- W4385714672 hasPublicationYear "2023" @default.
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