Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities

Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities

In this paper, we consider the following nonlinear Schrödinger equations with mixed nonlinearities:{−Δu=λu+μ|u|q−2u+|u|2⁎−2uin RN,u∈H1(RN),∫RNu2=a2, where N≥3, μ>0, λ∈R and 2

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Veröffentlicht in:Journal of functional analysis 2022-09, Vol.283 (6), p.109574, Article 109574
Hauptverfasser: Wei, Juncheng, Wu, Yuanze
Format: Artikel
Sprache:eng
Schlagworte:
Critical nonlinearity
Ground state
Mixed nonlinearity
Normalized solution
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Zusammenfassung:In this paper, we consider the following nonlinear Schrödinger equations with mixed nonlinearities:{−Δu=λu+μ|u|q−2u+|u|2⁎−2uin RN,u∈H1(RN),∫RNu2=a2, where N≥3, μ>0, λ∈R and 2
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2022.109574