| Title | Entire solutions of autonomous equations on Rn with nontrivial asymptotics |
| Publication Type | Journal Article |
| Year of Publication | 2008 |
| Authors | Malchiodi, A |
| Journal | Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 19 (2008) 65-72 |
| Abstract | We prove existence of a new type of solutions for the semilinear equation $- \\\\D u + u = u^p$ on $\\\\R^n$, with $1 < p < \\\\frac{n+2}{n-2}$. These solutions are positive, bounded, decay exponentially to zero away from three half-lines with a common origin, and at infinity are asymptotically periodic. |
| URL | http://hdl.handle.net/1963/2640 |
Research Group: