[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b200311

ON NONLINEAR ELLIPTIC EQUATIONS WITH SINGULAR LOWER ORDER TERM

Marah, Amine (Faculte des Sciences Et Techniques Morocco Universite Hassan 1)
Redwane, Hicham (Faculte des Sciences Juridiques 'Economiques et Sociales Universite Hassan 1)

Publication Information

Bulletin of the Korean Mathematical Society / v.58, no.2, 2021 , pp. 385-401 More about this Journal

Abstract

We prove existence and regularity results of solutions for a class of nonlinear singular elliptic problems like $\{-div$(a(x)+{\mid}u{\mid}^q){\nabla}u$=\frac{f}{{\mid}u{\mid}^{\gamma}}{\text{ in }}{\Omega},\\{u=0\;on\;{\partial}{\Omega},$ where Ω is a bounded open subset of ℝℕ(N ≥ 2), a(x) is a measurable nonnegative function, q, �� > 0 and the source f is a nonnegative (not identicaly zero) function belonging to Lm(Ω) for some m ≥ 1. Our results will depend on the summability of f and on the values of q, �� > 0.

Keywords

Nonlinear singular elliptic equations; existence; regularity;

Citations & Related Records

Reference

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