| Autor: |
Alves, Claudianor O., de Holanda, Angelo R. F., dos Santos, Jefferson A. |
| Zdroj: |
Proceedings of the Royal Society of Edinburgh: Section A: Mathematics; Oct2020, Vol. 150 Issue 5, p2349-2367, 19p |
| Abstrakt: |
In this paper we show the existence of solution for the following class of semipositone problem P $$\left\{\matrix{-\Delta u & = & h(x)(f(u)-a) & \hbox{in} & {\open R}^N, \cr u & \gt & 0 & \hbox{in} & {\open R}^N, \cr}\right.$$ where N ≥ 3, a > 0, h : ℝN → (0, + ∞) and f : [0, + ∞) → [0, + ∞) are continuous functions with f having a subcritical growth. The main tool used is the variational method together with estimates that involve the Riesz potential. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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