离散p-Laplace算子的抛物理论
Parabolic theory of the discrete p-Laplace operator
摘要：
我们研究离散版本的$p$ -拉普拉斯算子。基于它的变分性质，我们讨论了相关抛物问题的一些特征。我们的方法使我们反过来获得有趣的信息，积极性和比较原则，以及兼容性的对称性的图形。最后，我们简要地讨论了几个非线性广义拉普拉斯算子出现在不同的抛物型方程的变分性质。
英文摘要：
We study the discrete version of the $p$-Laplacian. Based on its variational properties we discuss some features of the associated parabolic problem. Our approach allows us in turn to obtain interesting information about positivity and comparison principles as well as compatibility with the symmetries of the graph. We conclude briefly discussing the variational properties of a handful of nonlinear generalized Laplacians appearing in different parabolic equations.
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