The multiplicity of solutions in non-homogeneous boundary value problems |
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Authors: | Phillipe Bolle Nassif Ghoussoub Hossein Tehrani |
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Institution: | (1) CEREMADE, Université Paris-Dauphine, 75775 Paris Cedex 16, France, FR;(2) Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada, CA;(3) Department of Mathematics, University of Nevada, Las Vegas, NV 89154, USA, US |
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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.
Received: 13 August 1998 / Revised version: 6 July 1999 |
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Keywords: | Mathematics Subject Classification (1991):35B40 35B45 58E05 Secundary 35J40 |
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