Infinitely Many Solutions of Schrödinger-Poisson Equations with Critical and Sublinear Terms

المؤلفون المشاركون

Yao, Xianzhong
Li, Xia
Zhang, Fuchen
Mu, Chunlai

المصدر

Advances in Mathematical Physics

العدد

المجلد 2019، العدد 2019 (31 ديسمبر/كانون الأول 2019)، ص ص. 1-9، 9ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2019-12-29

دولة النشر

مصر

عدد الصفحات

9

التخصصات الرئيسية

الفيزياء

الملخص EN

In this paper, we study the following Schrödinger-Poisson equations −Δu+u+ϕu=u5+λaxup−1u,x∈ℝ3,−Δϕ=u2,x∈ℝ3, where the parameter λ>0 and p∈0,1.

When the parameter λ is small and the weight function ax fulfills some appropriate conditions, we admit the Schrödinger-Poisson equations possess infinitely many negative energy solutions by using a truncation technology and applying the usual Krasnoselskii genus theory.

In addition, a byproduct is that the set of solutions is compact.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Yao, Xianzhong& Li, Xia& Zhang, Fuchen& Mu, Chunlai. 2019. Infinitely Many Solutions of Schrödinger-Poisson Equations with Critical and Sublinear Terms. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1119047

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Yao, Xianzhong…[et al.]. Infinitely Many Solutions of Schrödinger-Poisson Equations with Critical and Sublinear Terms. Advances in Mathematical Physics No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1119047

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Yao, Xianzhong& Li, Xia& Zhang, Fuchen& Mu, Chunlai. Infinitely Many Solutions of Schrödinger-Poisson Equations with Critical and Sublinear Terms. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1119047

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1119047