We prove existence of a new type of solutions for the semilinear equation on , with . These solutions are positive, bounded, decay exponentially to zero away from three half-lines with a common origin, and at infinity are asymptotically periodic.
Cite this article
Andrea Malchiodi, Entire solutions of autonomous equations on <em><strong>R</strong><sup>n</sup></em> with nontrivial asymptotics. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 19 (2008), no. 1, pp. 65–72DOI 10.4171/RLM/508