Entropy solutions for some nonlinear and noncoercive unilateral elliptic problems.

Autor: Akdim, Youssef, Belayachi, Mohammed, Hjiaj, Hassane, Mekkour, Mounir
Zdroj: Rendiconti del Circolo Matematico di Palermo (Series 2); Dec2020, Vol. 69 Issue 3, p1373-1392, 20p
Abstrakt: This paper is concerned with the study of the existence results to the obstacle problem associated with the equation having degenerate coercivity, whose prototype is given by: - div (b (| u |) | ∇ u | p - 2 ∇ u) + d (| u |) | ∇ u | p = f (x , u) in Ω , u = 0 on ∂ Ω , where Ω is a bounded open set of R N ( N ≥ 2 ), with 1 < p < N , and f (· , s) satisfying some growth condition. We show the existence of entropy solutions for this non-coercive unilateral elliptic equation, and we will conclude some regularity results. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index