Publication detail

Multiplicity of positive solutions for the fractional Schrödinger-Poisson system with critical nonlocal term

DOU, X. HE, X. RADULESCU, V.

Original Title

Multiplicity of positive solutions for the fractional Schrödinger-Poisson system with critical nonlocal term

Type

journal article in Web of Science

Language

English

Original Abstract

This paper deals with the following fractional Schrodinger-Poisson system: (-& UDelta;)su + u - K(x)f|u|2s*-3u = f ?(x)|u|q-2u,x & ISIN; Double-struck capital R3,(-& UDelta;)sf = K(x)|u|2s*-1,x & ISIN; Double-struck capital R3 with multiple competing potentials and a critical nonlocal term, where s & ISIN; (0, 1), q & ISIN; (1, 2) or q & ISIN; (4, 2s*), and 2s* = 6 3-2s is the fractional critical exponent. By combining the Nehari manifold analysis and the Ljusternik-Schnirelmann category theory, we establish how the coefficient K of the nonlocal critical nonlinearity affects the number of positive solutions. We propose a new relation between the number of positive solutions and the category of the global maximal set of K.

Keywords

ONCENTRATION-COMPACTNESS PRINCIPLE; NONLINEAR SCHRODINGER-EQUATIONS; KLEIN-GORDON-MAXWELLPOISSON EQUATIONS; SOLITARY WAVES; CALCULUS

Authors

DOU, X.; HE, X.; RADULESCU, V.

Released

28. 8. 2024

ISBN

1664-3615

Periodical

Bulletin of Mathematical Sciences

Year of study

14

Number

02

State

Republic of Singapore

Pages from

1

Pages to

56

Pages count

56

URL

https://www.worldscientific.com/doi/epdf/10.1142/S1664360723500121

BibTex

@article{BUT185748,
  author="Xilin {Dou} and Xiaoming {He} and Vicentiu {Radulescu}",
  title="Multiplicity of positive solutions for the fractional Schrödinger-Poisson system with critical nonlocal term",
  journal="Bulletin of Mathematical Sciences",
  year="2024",
  volume="14",
  number="02",
  pages="56",
  doi="10.1142/S1664360723500121",
  issn="1664-3615",
  url="https://www.worldscientific.com/doi/epdf/10.1142/S1664360723500121"
}