In this paper we prove a Sobolev-Poincaré inequality for a class of function spaces associated with some degenerate elliptic equations. These estimates provide us with the basic tool to prove an invariant Harnack inequality for weak positive solutions. In addition, Holder regularity of the weak solutions follows in a standard way. 1 Let Sf = YJl ,=i 9j(ajjdj) be a second-order degenerate ellipt...

introduction: bite wing radiographs are indicated in children with closed posterior contacts. given the fact that nowadays bitewing radiographs are taken using both paper loop and film holder, the aim of this study is the evaluation of acceptance and diagnostic quality of two methods. materials and methods: this study is a sort of diagnostic accuracy test that was performed on 20 6-8 year old c...

In this paper, by using a new concept of strong convexity, we obtain sufficient conditions for Holder continuity of the solution mapping for a parametric weak vector equilibrium problem in the case where the solution mapping is a general set-valued one. Without strong monotonicity assumptions, the Holder continuity for solution maps to parametric weak vector optimization problems is discussed.

Den stadige teknologiske udvikling skaber løbende nye muligheder for offentlige myndigheders brug af digital teknologi til at understøtte deres opgaveløsning, uden dette nødvendigvis er udtømmende reguleret i forvaltningsretlige retskilder som forvaltningslov og ombudsmandspraksis mv. I denne artikel kombinerer vi en retsvidenskabelig analyse med kvalitativ undersøgelse praksis hos danske myndi...

In this note we use an elementary integral formula to give a new short proof of the theorem of B. E. J. Dahlberg [2] on the mutual absolute continuity of harmonic and surface measure on bounded Lipschitz domains. (See [4] for the relevant definitions.) The formula also provides a new proof of the so-called reverse Holder inequality (see [2]), and //-estimates for the Dirichlet problem (see [3])...

Standard Multi-Armed Bandit (MAB) problems assume that the arms are independent. However, in many application scenarios, the information obtained by playing an arm provides information about the remainder of the arms. Hence, in such applications, this informativeness can and should be exploited to enable faster convergence to the optimal solution. In this paper, we introduce and formalize the G...