Solitons in several space dimensions with variable exponents

Solitons in several space dimensions with variable exponents

The authors examine the Lorentz invariant nonlinear field equations with a variable exponent in several space dimensions in order to prove the existence of soliton‐like solutions. The existence of a static solution minimizing the energy is proved. Under some addition assumptions, the existence of in...

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Veröffentlicht in:Mathematical methods in the applied sciences 2023-05, Vol.46 (8), p.9477-9484
Hauptverfasser: Dellal, Abdelkader, Graef, John R., Ouahab, Abdelghani
Format: Artikel
Sprache:eng
Schlagworte:
existence
infinitely many solutions
Solitary waves
soliton
variable exponents
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Zusammenfassung:The authors examine the Lorentz invariant nonlinear field equations with a variable exponent in several space dimensions in order to prove the existence of soliton‐like solutions. The existence of a static solution minimizing the energy is proved. Under some addition assumptions, the existence of infinitely many solutions is also proved.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.9069