We revisit the classical problem of the buckling of a long thin axially compressed cylindrical shell. By examining the energy landscape of the perfect cylinder, we deduce an estimate of the sensitivity of the shell to imperfections. Key to obtaining this estimate is the existence of a mountain pass point for the system. We prove the existence on bounded domains of such solutions for almost all ...

Introduction The Moab Slickrock Trail was the first trail designated primarily for mountain bike use and is one of the most popular mountain bike trails in the world. It was established as a motorcycle trail in 1969, but by the mid 1980s, it was primarily used by mountain bikers. The trail is located on a sandstone plateau overlooking the Colorado River, Moab Valley, and Arches National Park. T...

Variational methods find solutions of equations by considering a solution as a critical point of an appropriately chosen function. Local minima and maxima are well-known types of critical points. We explore methods for finding critical points that are neither local maxima or minima, but instead are mountain passes or saddle points. Criteria for the existence of minima or maxima are well-known, ...

1. The Mountains of Europe 1.1.Key Values of the Mountains 2. Sustainable Mountain Development: A New Priority 2.1.Defining Sustainable Mountain Development 2.2.Priorities from the European Intergovernmental Consultation 2.3.Priorities from the European Nongovernmental Consultation 3. Activities Connected with Sustainable Mountain Development in Europe 3.1.Initiatives Within Pan-European Instit...

In Belize, Central America, many farms surrounding the Protected Areas of the Maya Mountains rely heavily on the application of agrochemicals. The purpose of this study was to test whether orographic drift of glyphosate and organophosphates into the nearby Maya Mountain Protected Areas occurred by collecting phytotelmic water from seven sites over 3 years. Regardless of location within the Maya...

This paper investigates the socio-ecological differences and interactions between upland and lowland areas in Shaxi Valley, Yunnan Province, Southwest China. As an analytical tool we used an extended Human–Environment System Framework by focusing particularly on the dynamics and sustainability of livelihood strategies and mountain–valley interactions. Drawing from household surveys conducted in...

The in situ measured average outdoor absorbed dose rate in air was found to vary from 108.4 to 1596.4 nGy h at Homa Mountain area in southwestern Kenya. Rock and soil samples collected gave average values of the radioactivity concentrations of K, Ra and Th of 915.6, 195.3 and 409.5 Bq kg, respectively. The range of the annual effective dose for a person living in Homa Mountain area calculated v...

Four new species of Astenus (Eurysunius) Dejean (Staphylinidae: Paederinae) are described from Western Anatolia, Turkey, and illustrated: Astenus gusarovi sp. n. (Çökelez Mountain, Denizli province), A. orgeli sp. n. (İmambaba Tepesi, Aydın province and Bozdağlar, İzmir province), A. kumlutasi sp. n. (Akdağlar, Kütahya province and Murat Mountain, Uşak province) and A. honazicus sp. n. (Honaz M...