Publications Repository - Gdańsk University of Technology

Consider the Euclidean space Rn with the orthogonal action of a compact Lie group G. We prove that a locally Lipschitz G-invariant mapping f from Rn to R can be uniformly approximated by G-invariant smooth mappings g in such a way that the gradient of g is a graph approximation of Clarke’s generalized gradient of f . This result enables a proper development of equivariant gradient degree theory for a class of set-valued gradient mappings

Authors

• dr hab. Zdzisław Dzedzej link open in new tab ,
• mgr inż. Tomasz Gzella link open in new tab