A posteriori estimates for problems with monotone operators
Abstract
We 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.
Fields of Study & Subjects
Differential Equations and Boundary Problems
Numerical methods in inverse problems
Advanced Mathematical Modeling in Engineering
Publication details
- Journal / source
- Sbornik Mathematics
- Volume
- 217
- Issue
- 4
- Pages
- 446–483
- Publication date
- 1 January 2026
- Language
- EN