Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896572 | Journal of Functional Analysis | 2018 | 35 Pages |
Abstract
In this paper, we consider the existence (and nonexistence) of solutions toâMλ,α(uâ³)+V(x)u=f(u)inR where Mλ,Î+ and Mλ,Îâ denote the Pucci operators with 0<λâ¤Î<â, V(x) is a bounded function, f(s) is a continuous function and its typical example is a power-type nonlinearity f(s)=|s|pâ1s(p>1). In particular, we are interested in positive solutions which decay at infinity, and the existence (and nonexistence) of such solutions is proved.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Patricio Felmer, Norihisa Ikoma,