ABSTRACT Let Ω⊂ RN be a bounded regular domain, 0< s< 1 and N> 2 s. We consider (− D) su= uqd 2 s in Ω, u> 0 in Ω, u= 0 in RN∖ Ω, where 0< q≤ 2∗− 1, 0< s< 1 and d (x)= dist …
B Abdellaoui, K Biroud, EH Laamri - Journal of Evolution Equations, 2021 - Springer
We consider the problem (P)\left {u_t+ (-Δ)^ su &= & λ u^ p δ^ 2s (x) &\quad in Ω _ T ≡ Ω * (0, T),\u (x, 0) &= & u_0 (x) &\quad in Ω,\u&= & 0 &\quad in (I\!\! R^ N ∖ Ω) * (0, T),.(P) ut+(-Δ) …
Lately, problems involving nonlocal operators have received considerable attention not only in the field of pure mathematical analysis but also in the real world of applications, as in thin …