Multiplicity of solutions for Schrödinger–Bopp–Podolsky systems

Chun Rong Jia; Lin Li; Shang Jie Chen; Donal O’Regan

doi:10.1515/gmj-2023-2058

Multiplicity of solutions for Schrödinger–Bopp–Podolsky systems

Chun Rong Jia
, Lin Li
, Shang Jie Chen
, Donal O’Regan

Mathematics

Chongqing Technology and Business University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, we study the existence and multiplicity of solutions for the Schrödinger–Bopp–Podolsky system (Formula presented) where x ∈ ℝ³, a > 0, V(x) ∈ C(ℝ³, ℝ). Using variational methods and the symmetric mountain pass theorem, we establish the existence of multiple solutions for this system.

Original language	English
Pages (from-to)	47-58
Number of pages	12
Journal	Georgian Mathematical Journal
Volume	31
Issue number	1
DOIs	https://doi.org/10.1515/gmj-2023-2058
Publication status	Published - 1 Feb 2024

Keywords

Palais–Smale condition
Schrödinger–Bopp–Podolsky system
symmetric Mountain Pass Theorem

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10.1515/gmj-2023-2058

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abstract = "In this paper, we study the existence and multiplicity of solutions for the Schr{\"o}dinger–Bopp–Podolsky system (Formula presented) where x ∈ ℝ3, a > 0, V(x) ∈ C(ℝ3, ℝ). Using variational methods and the symmetric mountain pass theorem, we establish the existence of multiple solutions for this system.",

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AU - Jia, Chun Rong

AU - Li, Lin

AU - Chen, Shang Jie

AU - O’Regan, Donal

PY - 2024/2/1

Y1 - 2024/2/1

N2 - In this paper, we study the existence and multiplicity of solutions for the Schrödinger–Bopp–Podolsky system (Formula presented) where x ∈ ℝ3, a > 0, V(x) ∈ C(ℝ3, ℝ). Using variational methods and the symmetric mountain pass theorem, we establish the existence of multiple solutions for this system.

AB - In this paper, we study the existence and multiplicity of solutions for the Schrödinger–Bopp–Podolsky system (Formula presented) where x ∈ ℝ3, a > 0, V(x) ∈ C(ℝ3, ℝ). Using variational methods and the symmetric mountain pass theorem, we establish the existence of multiple solutions for this system.

KW - Palais–Smale condition

KW - Schrödinger–Bopp–Podolsky system

KW - symmetric Mountain Pass Theorem

UR - https://www.scopus.com/pages/publications/85170097254

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DO - 10.1515/gmj-2023-2058

M3 - Article

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JO - Georgian Mathematical Journal

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IS - 1

ER -

Multiplicity of solutions for Schrödinger–Bopp–Podolsky systems

Abstract

Keywords

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