Huashui Zhan, Jie Wen
In this article we consider the evolutionary -Laplacian equation
where . If the diffusion coefficient degenerates on the boundary, then and the solution may be free from any limitations of the boundary condition.
Submitted June 2, 2015. Published June 14, 2016.
Math Subject Classifications: 35L65, 35K85, 35R35.
Key Words: p(x)-Laplacian equation; diffusion coefficient; Fichera-Oleinik theory; boundary condition; Fichera function.
Show me the PDF file (272 KB), TEX file for this article.
| Huashui Zhan |
School of Applied Mathematics
Xiamen University of Technology
Xiamen, Fujian 361024, China
| Jie Wen |
School of Sciences
Xiamen, Fujian 361021, China
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