Liouville‐type theorems for a nonlinear fractional Choquard equation
Copyright policy )Liouville‐type theorems for a nonlinear fractional Choquard equation
AbstractIn this paper, we are concerned with the fractional Choquard equation on the whole space with , and . We first prove that the equation does not possess any positive solution for . When , we establish a Liouville type theorem saying that if then the equation has no positive stable solution. This extends, in particular, a result in [27] to the fractional Choquard equation.
- Academy Of Finance Viet Nam
- Hanoi University of Science and Technology Viet Nam
- Hanoi National University of Education Viet Nam
Semilinear elliptic equations, Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs, fractional Choquard equations, Fractional partial differential equations, Liouville-type theorems, stable solutions
Semilinear elliptic equations, Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs, fractional Choquard equations, Fractional partial differential equations, Liouville-type theorems, stable solutions
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