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 : 44 | Download : 42

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