The multiplicity of solutions in non-homogeneous boundary value problems View Full Text


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Article Info

DATE

2000-03

AUTHORS

Phillipe Bolle, Nassif Ghoussoub, Hossein Tehrani

ABSTRACT

We use a method recently devised by Bolle to establish the existence of an infinite number of solutions for various non-homogeneous boundary value problems. In particular, we consider second order systems, Hamiltonian systems as well as semi-linear partial differential equations. The non-homogeneity can originate in the equation but also from the boundary conditions. The results are more satisfactory than those obtained by the standard “Perturbation from Symmetry” method that was developed – in various forms – in the early eighties by Bahri–Berestycki, Struwe and Rabinowitz. More... »

PAGES

325-350

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s002290050219

DOI

http://dx.doi.org/10.1007/s002290050219

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1019597129


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