# A supercritical scalar field equation with a forcing term

Kazuhiro Ishige, Shinya Okabe, Tokushi Sato

1 被引用数 (Scopus)

## 抄録

This paper is concerned with the elliptic problem for a scalar field equation with a forcing term −Δu+u=up+κμ in RN, where N≥2, p>1, κ>0 and μ is a Radon measure in RN with a compact support. Under a suitable integrability condition on μ, we give a complete classification of the existence and nonexistence of positive solutions decaying at the space infinity in the case of 1<p<pJL. Here pJL is the so-called Joseph-Lundgren exponent.

本文言語 English 183-212 30 Journal des Mathematiques Pures et Appliquees 128 https://doi.org/10.1016/j.matpur.2019.04.003 Published - 2019 8月

• 数学 (全般)
• 応用数学

## フィンガープリント

「A supercritical scalar field equation with a forcing term」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。