3 papers
math.DG2026
Biharmonic and Interpolating Sesqui-Harmonic Vector Fields with Respect to the varphi-Sasakian Metric
Abderrahim Zagane, Kheireddine Biroud, Medjahed Djilali
This work investigates biharmonic and interpolating sesqui-harmonic vector fields on the tangent bundle of a para-Kähler--Norden manifold (M, varphi, g) endowed with the varphi-Sa…
math.AP2025
Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems
Boumediene Abdellaoui, Somia Atmani, Kheireddine Biroud +1
In the first part of this paper, we prove the global regularity, in an adequate parabolic Bessel-Potential space and then in the corresponding parabolic fractional Sobolev space, o…
math.AP2025
Fractional elliptic reaction-diffusion systems with coupled gradient terms and different diffusion
Somia Atmani, Kheireddine Biroud, Maha Daoud +1
In this work, we study the existence and nonexistence of nonnegative solutions to a class of nonlocal elliptic systems set in a bounded open subset of . The diffusion…