We study positive solutions to the fractional semi-linear elliptic equation $${\left( { - \Delta } \right)^\sigma }u = K\left( x \right){u^{{{n + 2\sigma \over {n }}\,}}\,\,\,{\rm{in}}\,{B_2}\backslash \left\{ 0 \right\}$$ with an isolated singularity at origin, where K is a function on B2, punctured ball B2 {0} ⊂ ℝn n ⩾ 2, σ ∈ (0, 1), and (−Δ)σ Laplacian. In lower dimensions, we show that for ...

We examine the anisotropic electrical and thermal transport properties in single crystals of In2Te5 belonging to monoclinic space group C12/c1 with temperature gradient applied parallel (||) perpendicular ( $$\perp $$ ) crystallographic c-axis crystals. A systematic investigation structural, electrical, suggests role layered structure this material guiding its thermoelectric behavior. The condu...

In this article we study the properties of the hyperinterpolation operator on the unit disk D in R, approximating the orthogonal projection of a function onto the family of polynomials of degree n. A bound for the norm of the hyperinterpolation operator in the space C(D) is derived. Our results then prove the uniform convergence of the hyperinterpolation approximation of functions in the class ...

The critical behaviour of the coagulating systems, where the coagulation efficiency grows with the masses of colliding particles g and l asK(g, l) = gl (1/2 < α 1) is studied. The instantaneous sink that removes the particles with masses exceeding G is introduced which allows one to define the gel as a deposit of particles with masses between G + 1 and 2G. This system displays critical behaviou...

A correlation based on the general form of cubic equations of state has been derived. This equation provides a convenient mathematical form of the Joule-Thomson coefficient in terms of the state variable V and T. The Joule-Thomson coefficient calculated by this correlation has been compared with experimental data. It has been shown that the Redilich-Kwang equation of state is a suitable equ...

objective: animal studies show that vaccination with epitope-based peptides results in protective immunity. however, immunodominance should be regarded as a major challenge in this area. considering the advantages of epitopic-vaccines against hepatitis c virus (hcv) infection, herein, we compared the occurrence of immunodominance following mice immunization with three different hcv epitopic-pep...

Let L(y) = 0 be a linear homogeneous ordinary di erential equation with polynomial coefcients. One of the general problems connected with such an equation is to nd all points a (ordinary or singular) and all formal power series ∑∞ n=0 cn(x − a) which satisfy L(y) = 0 and whose coe cient cn — considered as a function of n — has some ‘nice’ properties: for example, cn has an explicit representati...