In this note, we present three independent results within generalized complex analysis (in the Colombeau sense). The first of them deals with non-removable singularities; we construct a generalized function u on an open ...

In this paper we will study the problem of existence of positive solutions to the problem

In this note, we study symmetry results of solutions to equation (E) -I-epsilon[u] = f (u) in B-1 with the condition u = 0 in (B) over bar (c)(1), where I-epsilon[u](x) = integral(RN) u(y)-u (x)/epsilon(N+2 sigma) +vertical ...

We consider the exterior problem

The scheme is based on Ami Harten's ideas (Harten, 1994), the main tools coming from wavelet theory, in the framework of multiresolution analysis for cell averages. But instead of evolving cell averages on the finest uniform ...

The scheme is based on Ami Harten's ideas (Harten, 1994), the main tools coming from wavelet theory, in the framework of multiresolution analysis for cell averages. But instead of evolving cell averages on the finest uniform ...

The purpose of this paper is to study boundary blow up solutions for semi-linear fractional elliptic equations of the form {(-Delta)(alpha)u(x) + vertical bar u vertical bar(p-1)u(x) = f(x), x is an element of Omega, ...

We consider the nonlocal evolution Dirichlet problem u(t)(x, t) = f(Omega) J(x-y/g(y)) u(y, t)/g(y)(N) dy- u(x, t), x is an element of Omega, t > 0; u = 0, x is an element of R-N\Omega, t >= 0; u(x, 0) = u(0)(x), x is an ...

This paper presents the sharpest near-IR images of the massive cluster R136 to date, based on the extreme adaptive optics of the SPHERE focal instrument implemented on the ESO Very Large Telescope and operated in its IRDIS ...