Capacity solutions for anisotropic variable exponent parabolic-elliptic systems with degenerate term
Hichem Khelifi, Youssef El Hadfi, Said El Manouni · Analysis · 2025
Abstract This paper focuses on establishing the existence of a capacity solution for the following anisotropic elliptic-parabolic system with variable exponent: { u t − ∑ i = 1 d [ | u x i | p i ( x ) − 2 u x i ( 1 + | u | ) γ ( p i ( x ) − 1 ) ] x i = Θ ( u ) | ∇ v | 2 in Q T = Ω × (