$N$ -Laplacian and $N/2$-Hessian type equations with exponential reaction term and measure data

Shiguang Ma; Zijian Wang

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arXiv · 2407.08266

$N$ -Laplacian and $N/2$-Hessian type equations with exponential reaction term and measure data

Shiguang Ma·Zijian Wang

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Abstract

In this article, we will prove existence results for the equations of the type $-Δ_{N}u=H_{l}(u)+μ$ and $F_{\frac{N}{2}}[-u]=H_{l}(u)+μ$ in a bounded domain $Ω$, with Dirichlet boundary condition, where the source term $H_{l}(r)$ takes the form $e^{r}-\sum_{j=0}^{l-1}\frac{r^{j}}{j!}$ and $μ$ is a nonnegative Radon measure.

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BibTeX RIS

Shiguang Ma, Zijian Wang. 2024-07-11. $N$ -Laplacian and $N/2$-Hessian type equations with exponential reaction term and measure data. https://arxiv.org/abs/2407.08266

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