Domain variation and non-uniqueness of homoclinic solutions of some partial differential equations on strips

DOI10.1007/s10884-006-9066-6zbMath1126.35032OpenAlexW2067442186MaRDI QIDQ2465121

E. Norman Dancer

Publication date: 19 December 2007

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-006-9066-6

zbMATH Keywords

Dirichlet boundary conditionhomoclinic solutionsdomain variationstrip domain

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Cites Work

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• Multiple solutions of some semilinear elliptic equations in slender cylindrical domains
• On the indices of fixed points of mappings in cones and applications
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• Remarks on Nonlinear Elliptic Problems on Long Domains
• The radius of the essential spectrum
• On Dancer's fixed point index formulas