期刊论文详细信息
AIMS Mathematics | |
The viscosity solutions of a nonlinear equation related to the p-Laplacian | |
关键词: : Nonlinear equation; p-Laplacian; moser iteration; viscosity solution; | |
DOI : 10.3934/Math.2017.3.400 | |
学科分类:数学(综合) | |
来源: AIMS Press | |
【 摘 要 】
The viscosity solutions of a nonlinear equation related to the p-Laplacian are considered. Besides there is a damping term in the equation, a nonlocal function is added. By considering the regularized problem and using Moser iteration technique, we get the uniformly local bounded properties of the solutions and the Lp-norm for the gradients. By the compactness theorem, we prove the existence of the viscosity solution of the equation.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904020969715ZK.pdf | 258KB | download |