Nonlocal semilinear elliptic problems with singular nonlinearity

A Youssfi, GOM Mahmoud - Calculus of Variations and Partial Differential …, 2021 - Springer
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Nonlinear fractional elliptic problem with singular term at the boundary

B Abdellaoui, K Biroud, A Primo - Complex Variables and Elliptic …, 2019 - Taylor & Francis
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 …

Existence and nonexistence of positive solutions to a fractional parabolic problem with singular weight at the boundary

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) …

Problèmes elliptiques et paraboliques fractionnaires avec termes singuliers

GOM Mahmoud - 2021 - toubkal.imist.ma
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 …

[PDF][PDF] A semilinear parabolic problem with singular term at the boundary

B Abdellaoui, K Biroud, A Primo - Journal of Evolution Equations, 2016 - academia.edu
A semilinear parabolic problem with singular term at the boundary Page 1 J. Evol. Equ. ©
2015 Springer Basel DOI 10.1007/s00028-015-0295-1 Journal of Evolution Equations A …