In the 1960s, Almgren [3, 4] initiated a program to find minimal hypersurfaces in Riemannian manifolds using min-max method. This was largely advanced by Pitts [34] and Schoen–Simon [37] 1980s when manifold is compact without boundary. this paper, we finish for general with non-empty As corollary, establish existence of smooth embedded hypersurface free boundary any Euclidean domain. An applica...

We construct an uncountable family of transversely Cantor laminations compact spaces defined by free minimal actions solvable groups, which are not affable and whose orbits quasi-isometric to Cayley graphs.

primary leiomyosarcoma of the broad ligament is a very rare, rapidly progressive and highly malignant gynecological tumor and only 16 cases have been reported in the literature. here, presentation of leiomyosarcoma of the left broad ligament in a 26-years-old woman is reported. clinical presentation and histological diagnosis is discussed. the patient has been treated surgically and remains dis...