%0 Journal Article %J Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 19 (2008) 65-72 %D 2008 %T Entire solutions of autonomous equations on Rn with nontrivial asymptotics %A Andrea Malchiodi %X 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. %B Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 19 (2008) 65-72 %G en_US %U http://hdl.handle.net/1963/2640 %1 1483 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-04-30T08:06:29Z\\nNo. of bitstreams: 1\\ngluingnote.pdf: 178833 bytes, checksum: eca0da57985e983d19aac5964c9a1e55 (MD5)