Solutions of heteroclinic type for some classes of semilinear elliptic partial differential equations

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J. Math. Sci. Univ. Tokyo
Vol. 1 (1994), No. 3, Page 525--550.

Rabinowitz, Paul H.
Solutions of heteroclinic type for some classes of semilinear elliptic partial differential equations
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Abstract:
This paper studies certain classes of equations of the form

$-Î u=g(x, y, u)$ 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.

Mathematics Subject Classification (1991): 35B40, 35J20, 35J65

Mathematical Reviews Number: MR1322690

Received: 1994-04-20

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