Construction of some classes of nonlinear PDE's admitting soliton solutions

被引：0
|
作者：
Dellal, A. [1 ]
Henderson, J. [2 ]
Ouahab, A. [1 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria
[2] Baylor Univ, Dept Math, Waco, TX 76798 USA
来源：
DISSERTATIONES MATHEMATICAE | 2017年 / 523期
关键词：
soliton; Derrick's Problem; nonlinear differential equation; variational calculus; critical point theory; splitting lemma; symmetry and compactness; p-Laplacian operator; topological charge; Lebesgue and Sobolev spaces with variable exponent; VARIABLE EXPONENT; GORDON EQUATION; EXISTENCE; WAVES; FUNCTIONALS;
D O I：
10.4064/dm752-7-2016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a class of Lorentz invariant nonlinear field equations in multiple space dimensions. The main purpose is to obtain soliton-like solutions with variable exponent. The fields are characterized by a topological invariant, which we call the charge. We prove the existence of a static solution which minimizes the energy among the configurations with nontrivial charge.
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收藏
页码：1 / 98
页数：98
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