arXiv subjects

Rouba Borghol

Publications and source records attributed to Rouba Borghol.

4 recordsLinked to original sources

arXiv2023

DocCert: Nostrification, Document Verification and Authenticity Blockchain Solution

Many institutions and organizations require nostrification and verification of qualification as a prerequisite for hiring. The idea is to recognize the authenticity of a copy or digital document issued by an institution in a foreign country and detect forgeries. Certificates, financial records, health records, official papers and others are often required to be attested from multiple entities in distinct locations. However, in this digital era where most applications happen online, and document copies are uploaded, the traditional signature and seal methods are obsolete. In a matter of minutes and with a simple photo editor, a certificate or document copy may be plagiarized or forged. Blockchain technology offers a decentralized approach to record and verify transactions without the need for huge infrastructure investment. In this paper, we propose a blockchain based nostrification system, where awarding institutions generate a digital certificate, store in a public but permissioned blockchain, where students and other stakeholders may verify. We present a thorough discussion and formal evaluation of the proposed system.

cs.CR↗

arXiv2008

Boundary singularities of solutions of N-harmonic equations with absorption

We study the boundary behaviour of solutions $u$ of $-Δ_{N}u+ |u|^{q-1}u=0$ in a bounded smooth domain $Ω\subset\mathbb R^{N}$ subject to the boundary condition $u=0$ except at one point, in the range $q>N-1$. We prove that if $q\geq 2N-1$ such a $u$ is identically zero, while, if $N-1<q<2N-1$, $u$ inherits a boundary behaviour which either corresponds to a weak singularity, or to a strong singularity. Such singularities are effectively constructed.

math.AP↗

arXiv2006

Boundary singularities of N -harmonic functions

We construct N-harmonic functions in a domain with one isolated singularity on the boundary of the domain. By using solutions of the spherical p-harmonic spectral problem, we give an inductive method to produce a large variety of separable p-harmonic functions.

math.AP↗

arXiv2006

Boundary Harnack inequality and a priori estimates of singular solutions of quasilinear elliptic equations

We extend some classical results dealing with boundary Harnack inequatilities to a class of quasilinear elliptic equations and derive some new estimates for solutions of such equations with an isolated singularity on the boundary of a domain.

math.AP↗