a two server queueing system with single and batch service is considered in this paper. the arrival process is assumed to be poisson and the service rate follows an exponential distribution. server-i serves the customers in both single and batch service, while server-ii serves the customers in batch service only. the laplace transform of the transient and steady state behavior of the model is c...

F (u) = f(u(·)), u ∈ W 1,p 0 (Ω), where f is a continuous function defined on R and L = −∆p. The results obtained (see [33]) extend the papers [10, 22] in the sense that the Laplace opereator in these two papers can be replaced with its generalizations, the p−Laplace operator. Also, our results can be applied to singular elliptic equations. 2. Boundary value problems for singular elliptic equat...

has this character. Even obvious results for this equation may require advanced estimates in the proofs. We refer to the books [DB] and [WZYL] about this equation, which is called the “evolutionary p-Laplacian equation,” the “p-parabolic equation” or even the “non-Newtonian equation of filtration.”. Our objective is to study the regularity of the viscosity supersolutions and their spatial gradi...

In this paper we introduce a boundary value problem involving powers of the p-Laplace operator. We will then prove a variant of Talenti inequality which shows that the Schwarz symmetrization of the solution of the boundary value problem is majorized by the solution of the appropriately symmetrized version of the problem. The case of equality is also investigated. Finally, as an application, we ...

Some new properties of fuzzy associative filters (also known as fuzzy associative pseudo-filters), fuzzy p-filter (also known as fuzzy pseudo-p-filters), and fuzzy a-filter (also known as fuzzy pseudo-a-filters) in pseudo-BCI algebras are investigated. By these properties, the following important results are proved: (1) a fuzzy filter (also known as fuzzy pseudo-filters) of a pseudo-BCI algebra...