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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Additional information
Received: 13 August 1998 / Revised version: 6 July 1999
Rights and permissions
About this article
Cite this article
Bolle, P., Ghoussoub, N. & Tehrani, H. The multiplicity of solutions in non-homogeneous boundary value problems. manuscripta math. 101, 325–350 (2000). https://doi.org/10.1007/s002290050219
Issue Date:
DOI: https://doi.org/10.1007/s002290050219