Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 254, Issue 8, Pages 3089-3145Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2012.12.019
Keywords
Stationary Choquard equation; Stationary focusing Hartree equation; Stationary nonlinear Schrodinger-Newton equation; Riesz potential; Nonlocal semilinear elliptic problem; Exterior domain; Nontrivial nonnegative supersolutions; Ground-state transformation; Decay estimates; Nonlinear Liouville theorems
Categories
Ask authors/readers for more resources
We consider a semilinear elliptic problem with a nonlinear term which is the product of a power and the Riesz potential of a power. This family of equations includes the Choquard or nonlinear Schrodinger-Newton equation. We show that for some values of the parameters the equation does not have nontrivial nonnegative supersolutions in exterior domains. The same techniques yield optimal decay rates when supersolutions exist. (C) 2013 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available