3 papers
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.AP2021
Sharp Morrey-Sobolev inequalities and eigenvalue problems on Riemannian-Finsler manifolds with nonnegative Ricci curvature
Alexandru Kristály, Ágnes Mester, Ildikó I. Mezei
Combining the sharp isoperimetric inequality established by Z. Balogh and A. Kristály [Math. Ann., in press, doi:10.1007/s00208-022-02380-1] with an anisotropic symmetrization argu…
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))\…