This paper is concerned with the elliptic problem for a scalar field equation with a forcing term (equation required) 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 solvability of problem (P) with 1 < p < pJL. Here pJL is the Joseph-Lundgren exponent defined by (equation required).
MSC Codes 35B09, 35J61, 35B32
|Publication status||Published - 2019 Feb 5|
- Scalar field equation
- The Joseph-Lundgren exponent
ASJC Scopus subject areas