| Abstract: |
| In this talk, we investigate contact Hamilton-Jacobi equations $H(x, du, u) = c$ and $H(x, du, u) = c + \Delta u$ under the condition that the contact direction is not strictly positive definite.
Correspondingly, we describe the structure of $\mathfrak{C}$ containing all the $c \in\mathbb{R}$ that makes the equations solvable and establish general comparison principles. As applications, we employ these comparison principles to obtain quantitative homogenization results. |
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