Solutions of heteroclinic type for some classes of semilinear elliptic partial differential equations
Paul H. Rabinowitz · Institutional Repositories DataBase (IRDB) · 1994
This paper studies certain classes of equations of the form $-Δ u=g(x, y, u)$ in an infinite strip (if $n=2$) or cylinder (if $n>2$). Variational arguments are used to establish the existence of solutions asymptotic to a pair of $x$-periodic states.