3 papers
math.AP2023
A Dirichlet inclusion problem on Finsler manifolds
Ágnes Mester, Károly Szilák
In this paper we study a Dirichlet-type differential inclusion involving the Finsler-Laplace operator on a complete Finsler manifold. Depending on the positive parameter of the…
math.AP2022
Elliptic differential inclusions on non-compact Riemannian manifolds
Alexandru Kristály, Ildikó I. Mezei, Károly Szilák
We investigate a large class of elliptic differential inclusions on non-compact complete Riemannian manifolds which involves the Laplace-Beltrami operator and a Hardy-type singular…
math.AP2020
Differential inclusions involving oscillatory terms
Alexandru Kristály, Ildikó I. Mezei, Károly Szilák
Motivated by mechanical problems where external forces are non-smooth, we consider the differential inclusion problem \[ \begin{cases} -Δu(x)\in \partial F(u(x))+λ\partial G(u(x))\…