DOI: 10.4213/sm10304e ISSN: 1064-5616
A posteriori estimates for problems with monotone operators
Vladimir Evgen'evich Bobkov, Svetlana Evgenievna PastukhovaWe propose a method of obtaining a posteriori estimates that does not use the duality theory and applies to variational inequalities with monotone operators, without assuming the potentiality of operators. The effectiveness of this method is demonstrated on problems driven by nonlinear operators of $p$-Laplacian type, including the anisotropic $p$-Laplacian, polyharmonic $p$-Laplacian and fractional $p$-Laplacian. Bibliography: 55 titles.