Existence of solutions to an evolution p-Laplacian equation with a nonlinear gradient term
We study the evolution p-Laplacian equation with the nonlinear gradient term $$ {u_t} = \hbox{div} (a(x){| {\nabla u} |^{p - 2}}\nabla u) -B(x)|\nabla u|^q, $$ where $a(x), B(x)\in C^1(\overline{\Omega})$, p>1 and p>q>0. When a(x)>0 and B(x)>0, the uniqueness of weak solution t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/311/abstr.html |