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
原稿受領日
1994-04-20
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Solutions of heteroclinic type for some classes of semilinear elliptic partial differential equations
jms010302.pdf
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