A remark on quasilinear Schrödinger equations with Berestycki–Lions conditions

التفاصيل البيبلوغرافية
العنوان: A remark on quasilinear Schrödinger equations with Berestycki–Lions conditions
المؤلفون: Jianhua Chen, Bitao Cheng, Jiangong Hu
المصدر: Applied Mathematics Letters. 116:107038
بيانات النشر: Elsevier BV, 2021.
سنة النشر: 2021
مصطلحات موضوعية: 010101 applied mathematics, symbols.namesake, Asymptotically linear, Applied Mathematics, 010102 general mathematics, symbols, Function (mathematics), 0101 mathematics, Ground state, 01 natural sciences, Schrödinger equation, Mathematics, Mathematical physics
الوصف: In this paper, we study the quasilinear Schrodinger equation − Δ u + V ( x ) u − Δ ( u 2 ) u = g ( u ) , x ∈ R N , where N ≥ 3 , 2 ∗ = 2 N N − 2 , V ( x ) is a potential function. By using a change of variable, we prove the non-existence of ground state solutions with Berestycki–Lions conditions, which contain the superlinear and asymptotically linear case. Unlike V ∈ C 2 ( R N , R ) , we only need to assume that V ∈ C 1 ( R N , R ) .
تدمد: 0893-9659
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_________::d4e385c3be7b48e22fef29879e66663f
https://doi.org/10.1016/j.aml.2021.107038
حقوق: CLOSED
رقم الأكسشن: edsair.doi...........d4e385c3be7b48e22fef29879e66663f
قاعدة البيانات: OpenAIRE