- Constructive Mathematical Analysis
- Volume:7 Issue:4
- Optimizing solutions with competing anisotropic (p, q)-Laplacian in hemivariational inequalities
Optimizing solutions with competing anisotropic (p, q)-Laplacian in hemivariational inequalities
Authors : Dumitru Motreanu, Abdolrahman Razani
Pages : 150-159
Doi:10.33205/cma.1566388
View : 42 | Download : 41
Publication Date : 2024-12-15
Article Type : Research Paper
Abstract :For differential inclusions and hemivariational inequalities driven by anisotropic differential operators, we establish the existence of generalized variational solutions and weak solutions. The main novelty consists in allowing that the driving operators might not satisfy any ellipticity condition, which is achieved for the first time in the anisotropic and nonsmooth context. The approach is based on a finite dimensional approximation process.Keywords : Differential inclusion, Hermivariational inequality, Anisotropic p-laplacian, competing operators, generalized variational solution, weak solution