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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회지 대한수학회지 제58권 제5호
- 발행연도
- 2021.9
- 수록면
- 1,131 - 1,145 (15page)
- DOI
- 10.4134/JKMS.j200463
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초록· 키워드
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In this article, we study the Klein-Gordon-Maxwell equations arising from a semilocal gauge field model. This model describes the interaction of two complex scalar fields and one gauge field, and generalizes the classical Klein-Gordon equation coupled with the Maxwell electrodynamics. We prove that there exist infinitely many standing wave solutions for $p\in (2,6)$ which are radially symmetric. Here, $p$ comes from the exponent of the potential of scalar fields. We also prove the nonexistence of nontrivial solutions for the critical case $p=6$.
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참고문헌 (15)
참고문헌 신청
Antonio Ambrosetti / 1973 / Dual variational methods in critical point theory and applications / Journal of Functional Analysis 14(4):349~381
A. Azzollini / 2011 / Improved estimates and a limit case for the electrostatic Klein–Gordon–Maxwell system / Proceedings of the Royal Society of Edinburgh: Section A Mathematics 141(3):449~463
A. Azzollini / 2010 / Ground state solutions for the nonlinear Klein-Gordon-Maxwell equations / Topol. Methods Nonlinear Anal 35(1):33~42
VIERI BENCI / 2011 / SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS / Reviews in Mathematical Physics 14(04):409~420
Olímpio Hiroshi Miyagaki / 2011 / Existence results for the Klein-Gordon-Maxwell equations in higher dimensions with critical exponents / Communications on Pure and Applied Analysis 10(2):709~718
A. Azzollini / 2011 / Improved estimates and a limit case for the electrostatic Klein–Gordon–Maxwell system / Proceedings of the Royal Society of Edinburgh: Section A Mathematics 141(3):449~463
A. Azzollini / 2010 / Ground state solutions for the nonlinear Klein-Gordon-Maxwell equations / Topol. Methods Nonlinear Anal 35(1):33~42
VIERI BENCI / 2011 / SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS / Reviews in Mathematical Physics 14(04):409~420
Olímpio Hiroshi Miyagaki / 2011 / Existence results for the Klein-Gordon-Maxwell equations in higher dimensions with critical exponents / Communications on Pure and Applied Analysis 10(2):709~718
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