- A notice on the Hint Theorem for domains that are domestically subgraph of a Holder steady perform(arXiv)
Writer : Boris Muha
Summary : The aim of this notice is to show a model of the Hint Theorem for domains that are domestically subgraph of a H” older steady perform. Extra exactly, let η∈C0,α(ω), 0<α<1 and let Ωη be a website which is domestically subgraph of a perform η. We show that mapping γη:u↦u(x,η(x)) could be prolonged by continuity to a linear, steady mapping from H1(Ωη) to Hs(ω), s<α/2. This examine is motivated by evaluation of fluid-structure interplay issues.
2. Holder continuity for the ring Q-homeomorphisms with respect to p-modulus(arXiv)
Writer : Ruslan Salimov
Summary : It’s based the enough situation of Holder continuity of the ring Q-homeomorphisms in Rn,n≥2 with respect to p-modulus at n−1<p<n.
