Homoclinic solutions for a class of second-order singular Hamiltonian systems

被引:0
|
作者
Boughariou, Morched [1 ]
Mahmoud, Marouen [2 ]
机构
[1] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, Lab EDP, Tunis 2092, Tunisia
[2] Univ Tunis El Manar, Fac Sci Tunis, Lab EDP, Tunis 2092, Tunisia
关键词
Hamiltonian system; Homoclinic solution; Variational method; Min-max method; HETEROCLINIC ORBITS; MULTIPLICITY;
D O I
10.1016/j.jmaa.2025.129535
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a class of singular second-order Hamiltonian systems in R-N (N >= 2) q<spacing diaeresis> + del V(q) = 0, q(t) is not an element of D, where V : R-N \ D -> R has a strict global maximum 0 at the origin and D subset of R-N \ {0} is a set of singularities, that is, V(q) -> -infinity as dist(q, D) -> 0. Under the condition that D is a compact set with C-2-boundary and V(q) similar to -[dist(q, D)](-alpha) as dist(q, D) -> 0 for some alpha > 0, we show the existence of a nontrivial homoclinic solution at 0 via a suitable approximation method. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数:13
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