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.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
1
号
3
ページ
525 - 550
発行年
1994
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathematical Reviews Number
MR1322690
Mathmatical Subject Classification
35B40(MSC1991)
35J20(MSC1991)
35J65(MSC1991)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
Solutions of heteroclinic type for some classes of semilinear elliptic partial differential equations
jms010302.pdf
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