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Entire solutions of autonomous equations on Rn with nontrivial asymptotics

TitleEntire solutions of autonomous equations on Rn with nontrivial asymptotics
Publication TypeJournal Article
Year of Publication2008
AuthorsMalchiodi, A
JournalAtti 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.

URLhttp://hdl.handle.net/1963/2640

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