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arXiv · 1312.3126

Estimates for $p$-Laplace type equation in a limit case

Fernando Farroni·Luigi Greco·Gioconda Moscariello
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Abstract

We study some Dirichlet problem for a $p$--Laplacian type operator in the setting of Orlicz--Zygmund space $L^q\log^{-\alpha}L(\Omega,\mathbb R^N)$, $q >1$ and $\alpha>0$. More precisely, our aim is to establish which assuptions on the parameter $\alpha>0$ lead to existence, uniqueness of the solution and continuity of the associated nonlinear operator.

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Fernando Farroni, Luigi Greco, Gioconda Moscariello. 2013-12-11. Estimates for $p$-Laplace type equation in a limit case. https://arxiv.org/abs/1312.3126

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