论文标题
$ \ mathbb {r}^2 $中的梯度变分问题
Gradient variational problems in $\mathbb{R}^2$
论文作者
论文摘要
We prove a new integrability principle for gradient variational problems in $\mathbb{R}^2$, showing that solutions are explicitly parameterized by $κ$-harmonic functions, that is, functions which are harmonic for the laplacian with varying conductivity $κ$, where $κ$ is the square root of the Hessian determinant of the surface tension.
We prove a new integrability principle for gradient variational problems in $\mathbb{R}^2$, showing that solutions are explicitly parameterized by $κ$-harmonic functions, that is, functions which are harmonic for the laplacian with varying conductivity $κ$, where $κ$ is the square root of the Hessian determinant of the surface tension.
