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- W4299619942 abstract "In this paper, we prove sharp estimates and existence results for anisotropic nonlinear elliptic problems with lower order terms depending on the gradient. Our prototype is: $ left{ begin{array}{ll} -mathcal Q_{p}u =[H(Du)]^{q}+f(x) &text{in }Omega, u=0&text{on }partialOmega. end{array} right. $ Here $Omega$ is a bounded open set of $mathbb R^{N}$, $Nge 2$, $0<p-1<qle p<N$, and $mathcal Q_{p}$ is the anisotropic operator $ mathcal Q_{p} u ={rm div}left( [H(Du)]^{p-1}H_{xi}(Du) right)$, where $H$ is a suitable norm of $mathbb R^{N}$. Moreover, $f$ belongs to an appropriate Marcinkiewicz space." @default.
- W4299619942 created "2022-10-02" @default.
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- W4299619942 date "2014-02-13" @default.
- W4299619942 modified "2023-09-23" @default.
- W4299619942 title "Sharp estimates and existence for anisotropic elliptic problems with general growth in the gradient" @default.
- W4299619942 doi "https://doi.org/10.48550/arxiv.1402.3086" @default.
- W4299619942 hasPublicationYear "2014" @default.
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