The aim of this paper is to prove the existence of extension operators for SBV functions from periodically perforated domains. This result will be the fundamental tool to prove the compactness in a non coercive homogenization problem.

BACKGROUND The current distribution of and access to health services along with the future health needs of the population have prompted wide application of Geographic Information Systems (GISs). During recent years, GIS has been used in public health management for planning and organization of healthcare services. This study investigates geographical accessibility of residential areas in Bandar...

We present a general theory to study optimal regularity for a large class of nonlinear elliptic systems satisfying general boundary conditions and in the presence of a geometric transmission condition on the free-boundary. As an application we give a full positive answer to a conjecture of De Giorgi on the analyticity of local minimizers of the Mumford-Shah functional.

Department of Oral & Maxillofacial Surgery, Sharavathi Dental College and Hospital, Shimoga, Karnataka, India Department of Periodontics, K.M. Shah Dental College and Hospital, Sumandeep Vidyapeeth, Vadodara, Gujarat, India Department of Oral Medicine & Radiology, Sharavathi Dental College and Hospital, Shimoga, Karnataka, India Department of Conservative and Endodontics, K.M Shah Dental Colleg...

The process of land use change and urban sprawl has been considered as a prominent characteristic of urban development. This study aims to investigate urban growth process in Bandar Abbas city, Iran, focusing on urban sprawl and land use change during 1956-2012. To calculate urban sprawl and land use changes, aerial photos and satellite images are utilized in different time spans. The results d...

BACKGROUND Idiopathic hypercalciuria is an important cause of symptoms related to the urinary system. The urinary excretion of high sodium and low potassium is a risk factor for hypercalciuria and urolithiasis. The aim of this study was to compare the urinary excretion of sodium and potassium by children older than two with idiopathic hypercalciuria and healthy control children in Bandar-Abbas,...