We study the existence of a positive solution of a nonlinear elliptic equation Mathematical equation represented where k ≥ 2 and D is a bounded domain in Rℓ, ℓ ≥ 1. We give almost necessary and sufficient condition on f (ℰ) for the existence of a positive solution, which is inspired by the works of Berestycki-Lions  and Berestycki- Gallouët-Kavian .
|ジャーナル||Advanced Nonlinear Studies|
|出版ステータス||Published - 2012 12 17|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics