We study the current flow paths between two edges in a random resistor network on a L X L square lattice. Each resistor has resistance e(ax) , where x is a uniformly distributed random variable and a controls the broadness of the distribution. We find that: (a) The scaled variable u identical with u congruent to L/a(nu) , where nu is the percolation connectedness exponent, fully determines the ...

– Under general growth assumptions, that include some cases of linear growth, we prove existence of Lipschitzian solutions to the problem of minimizing ∫ b a L(x(s), x ′(s))ds with the boundary conditions x(a)=A, x(b)= B.  2003 Éditions scientifiques et médicales Elsevier SAS MSC: 49N60; 49J65

The 2-(methylamino) pyridine, L, reacts with CuCl in THF to give hexameric copper (I) complex, [CuCl(L)]6. The molecular structure has been determined by using single-crystal X-ray diffraction method. The complex crustallizes in the monoclinic space group P21/n with four molecules per unit cell. The unit cell dimensions are a = 8.3495 (15), b = 15.622 (6), and c = 17.0...

Abstract Let $\Omega \subset {{\mathbb {R}}}^{n+1}$, $n\geq 2$, be an open set with Ahlfors regular boundary that satisfies the corkscrew condition. We consider a uniformly elliptic operator $L$ in divergence form associated matrix $A$ real, merely bounded and possibly nonsymmetric coefficients, which are also locally Lipschitz satisfy suitable Carleson type estimates. In this paper we show if ...

In this paper, we use the concept of weak demicompactness in order to give some properties for uniformly continuous cosine families. Our theoretical results will be illustrated by investigating spectral inclusion a family an upper semi-Fredholm spectrum.