标题： 关于具有单调算子的问题的后验估计 显示英文标题

标题： A posteriori estimates for problems with monotone operators

摘要： 我们提出了一种后验估计的方法，该方法不依赖对偶理论，并且适用于具有单调算子的变分不等式，而不假设算子的势能性。 该方法的有效性通过由非线性 $p$-Laplacian 类型算子驱动的问题得到验证，包括各向异性 $p$-Laplacian、多调和 $p$-Laplacian 和分数阶 $p$-Laplacian 等问题。 显示英文摘要

摘要： We propose a method of obtaining a posteriori estimates which does not use the duality theory and which applies to variational inequalities with monotone operators, without assuming the potentiality of operators. The effectiveness of the method is demonstrated on problems driven by nonlinear operators of the $p$-Laplacian type, including the anisotropic $p$-Laplacian, polyharmonic $p$-Laplacian, and fractional $p$-Laplacian.