New Nonlinear Equations with Soliton-Like Solutions

被引:0
作者
Monica Musso
机构
[1] Dipartimento di Matematica,
[2] Politecnico di Torino,undefined
来源
Letters in Mathematical Physics | 2001年 / 57卷
关键词
static solutions; soliton-like solutions; energy functional; lack of compactness;
D O I
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中图分类号
学科分类号
摘要
We introduce new nonlinear equations which provide soliton-like solutions. The existence of such solutions is obtained by a minimization argument and by using a variant of the concentration-compactness principle.
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页码:161 / 173
页数:12
相关论文
共 28 条
[1]  
Badiale M.(2001)Semiclassical limit for a quasilinear elliptic field equation: one-peak and multi-peak solution Adv. Differential Equations 6 385-418
[2]  
Benci V.(2000)Solitons in several space dimensions: a Derrick's problem and infinitely many solutions Arch. Rational Mech. Anal. 154 297-324
[3]  
D'Aprile T.(1999)Existence of string-like solitons Ric. Mat. 48 249-271
[4]  
Benci V.(1999)Solitons and electromagnetic field Math. Z. 232 73-102
[5]  
D'Avenia P.(1998)Soliton like solution of a Lorentz invariant equation in dimension 3 Rev. Math. Phys. 3 315-344
[6]  
Fortunato D.(1996)Remarks on topological solitons Topol. Methods Nonlinear Anal. 7 349-367
[7]  
Pisani L.(2000)A note on static solutions of a Lorentz invariant equation in dimension 3 Lett. Math. Phys. 53 1-10
[8]  
Benci V.(1964)Comments on nonlinear wave equations as model for elementary particles J. Math. Phys. 5 1252-1254
[9]  
Fortunato D.(1992)Sobolev maps with integer degree and applications to Skyrme's problem Proc. Royal Soc. London 436 197-201
[10]  
Benci V.(1998)Skyrmions and symmetry Analysis 1 187-192