The multiplicity of solutions in non-homogeneous boundary value problems

被引：0
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作者：
Phillipe Bolle
Nassif Ghoussoub
Hossein Tehrani
机构：
[1] CEREMADE,
[2] Université Paris-Dauphine,undefined
[3] 75775 Paris Cedex 16,undefined
[4] France,undefined
[5] Department of Mathematics,undefined
[6] University of British Columbia,undefined
[7] Vancouver,undefined
[8] BC,undefined
[9] V6T 1Z2,undefined
[10] Canada,undefined
[11] Department of Mathematics,undefined
[12] University of Nevada,undefined
[13] Las Vegas,undefined
[14] NV 89154,undefined
[15] USA,undefined
来源：
manuscripta mathematica | 2000年 / 101卷
关键词：
Mathematics Subject Classification (1991):35B40, 35B45, 58E05; Secundary 35J40;
D O I：
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学科分类号：
摘要：
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.
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页码：325 / 350
页数：25
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