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Spatially heteroclinic solutions for a semilinear elliptic P.D.E.

Published online by Cambridge University Press:  15 August 2002

Paul H. Rabinowitz
Paul H. Rabinowitz*
Affiliation:
Mathematics Department, University of Wisconsin–Madison, U.S.A.; [email protected].
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Abstract

This paper uses minimization methods and renormalized functionals to find spatially heteroclinic solutions for some classes of semilinear elliptic partial differential equations

Keywords

Spatially heteroclinic solutionsminimization methodsrenormalized functional.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 8: A tribute to JL Lions , 2002 , pp. 915 - 931
Copyright
© EDP Sciences, SMAI, 2002

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References

Bangert, V., On minimal laminations of the torus. Ann. Inst. H. Poincaré Anal. Non Linéaire 6 (1989) 95-138. CrossRef
Bosetto, E. and Serra, E., A variational approach to chaotic dynamics in periodically forced nonlinear oscillators. Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (2000) 673-709. CrossRef
Kirchgässner, K., Wave-solutions of reversible systems and applications. J. Differential Equations 45 (1982) 113-127. CrossRef
Mielke, A., Reduction of quasilinear elliptic equations in cylindrical domains with applications. Math. Mech. Appl. Sci. 10 (1988) 51-66. CrossRef
Moser, J.K., Minimal solutions of variational problems on a torus. Ann. Inst. H. Poincaré Anal. Non Linéaire 3 (1986) 229-272. CrossRef
Rabinowitz, P.H., Solutions of heteroclinic type for some classes of semilinear elliptic partial differential equations. J. Fac. Sci. Univ. Tokyo 1 (1994) 525-550.
P.H. Rabinowitz and E. Stredulinsky, Mixed states for an Allen-Cahn type equation. Comm. Pure Appl. Math. (to appear).
Turner, R.E.L., Internal waves in fluids with rapidly varying density. Ann. Scuola Norm. Sup. Pisa Cl. Sci. Ser. 4 8 (1981) 513-573.