Abstract
Our purpose of this paper is to study the isolated singularities of positive solutions to Choquard equation in the sublinear case q (0, 1) (x) = 0, where p > 0,N ≥ 3,α (0,N) and Iα[up](x) =N up(y) |x-y|N-αdy is the Riesz potential, which appears as a nonlocal term in the equation. We investigate the nonexistence and existence of isolated singular solutions of Choquard equation under different range of the pair of exponent (p,q). Furthermore, we obtain qualitative properties for the minimal singular solutions of the equation.
| Original language | English |
|---|---|
| Article number | 1750040 |
| Journal | Communications in Contemporary Mathematics |
| Volume | 20 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1 Jun 2018 |
Keywords
- Choquard equation
- Classification of singularity
- Dirac mass
- polynomial decay
- sublinear case