‎by considering a degenerate $p(x)-$laplacian equation‎, ‎a generalized compact embedding in weighted variable‎ ‎exponent sobolev space is presented‎. ‎multiplicity of positive solutions are discussed by applying fibering map approach for the‎ ‎corresponding nehari manifold‎.

background and importance: our learning curve during two decades of neurosurgical practice has been changed from an abstractive to a more meaningful and conductive state. in cases of fifth nerve neurinoma, pre-operative anatomopathologic diagnosis could lead us to a pre-planned program during and after the surgery to get the safe surgical result. case presentation: representation of two complex...

An intersection is a shared space that is used by more than one approach at a time. A signalized intersection is one where the shared space is used alternatively by a fixed number of approaches for a pre defined time interval as per the phasing scheme used for the intersection. Delay and queuing process are the main characteristics of such an intersection which help in analyzing and designing t...

Background Decentralisation aims to bring services closer to the community and has been advocated in the health sector to improve quality, access and equity, and to empower local agencies, increase innovation and efficiency and bring healthcare and decision-making as close as possible to where people live and work. Fiji has attempted two approaches to decentralisation. The current approach refl...

This paper presents a probabilistic approach to solve optimal control problems with application to spacecraft proximity operations. The 6 degree-of-freedom rendezvous and docking problem, using impulsive control, and avoidance of known obstacles and plume impingement is solved. Our solution is then extended to real-time obstacle avoidance. The space is searched by expanding from the start locat...

There are two general approaches for scheduling tasks in real-time systems: runtime and pre-runtime scheduling. However, there are several situations where the runtime approach does not find a feasible schedule even if such a schedule exists. The proposed approach uses state space exploration for finding a preruntime scheduling. The main problem with such methods is the space size, which can gr...

We introduce a quantale-valued generalization of approach spaces in terms of quantale-valued gauges. The resulting category is shown to be topological and to possess an initially dense object. Moreover we show that the category of quantale-valued approach spaces defined recently in terms of quantale-valued closures is a coreflective subcategory of our category and, for certain choices of the qu...

nowadays “design” is considered as an independent discipline which is neither a science, nor an art, but an interdiscipline with strong relations with both art and science. therefore, this new understanding demands reidentifying all design sub-disciplines. “space” as one of this sub-disciplines, has a pivotal role in shaping form in both design and architecture. while concrete understanding of ...

In the present paper, we are contemplating the influences of heterogeneities and pre-stresses on the propagation of Love-type waves in an initially stressed heterogeneous transversely isotropic layer of finite thickness lying over an inhomogeneous half space. The material constants and pre-stress have been taken as space dependent and arbitrary functions of depth in the respective media. To sim...

Using the idea of approach space due to Robert Lowen [Approach spaces. The missing link in the topology-uniformitymetric triad], we define the notion of fuzzy approach spaces as a natural generalization of fuzzy metric spaces due to Kramosil and Michalek [Kybernetika , 11, 1975, 336–344] and prove some properties of fuzzy approach spaces. Keywords— Approach spaces, Fuzzy approach spaces, Fuzzy ...