New multiple solutions for a Schrödinger-Poisson system involving concave-convex nonlinearities

Chun-yu LEI; Gao-sheng LIU; Chang-mu CHU; Hong-mın SUO

doi:https://doi.org/10.3906/mat-1807-100

Makale detayları

New multiple solutions for a Schrödinger-Poisson system involving concave-convex nonlinearities

Yazarlar:

Chun-yu LEI | Gao-sheng LIU | Chang-mu CHU | Hong-mın SUO

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2020 Vol.44 Issue 3, pp.986-997

Belge Tipi:

Makale

Yayın Tarihi:

4/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000745441

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

DOI:

https://doi.org/10.3906/mat-1807-100

Özet:

 

In this paper, we study the following critical growth Schr¨odinger–Poisson system with concave-convex   nonlinearities term   {   −∆u + u + ηφu = λf x u   q−1 + u   5   , in R   3   ,   −∆φ = u   2   , in R   3   ,    0.1    where 1   0 is a real parameter and f ∈ L   6   6−q  R   3     is a nonzero nonnegative function. Using the   variational method, we obtain that there exists a positive constant λ∗ > 0 such that for all λ ∈  0, λ∗ , the system has   at least two positive solutions.

Makale detayları

New multiple solutions for a Schrödinger-Poisson system involving concave-convex nonlinearities

Yazarlar: Chun-yu LEI | Gao-sheng LIU | Chang-mu CHU | Hong-mın SUO

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2020 Vol.44 Issue 3, pp.986-997

Belge Tipi: Makale

Yayın Tarihi: 4/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000745441

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

DOI: https://doi.org/10.3906/mat-1807-100

Sayı

Yazarlar:

Chun-yu LEI | Gao-sheng LIU | Chang-mu CHU | Hong-mın SUO

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2020 Vol.44 Issue 3, pp.986-997

Belge Tipi:

Makale

Yayın Tarihi:

4/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000745441

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

DOI:

https://doi.org/10.3906/mat-1807-100