INFINITELY MANY SOLUTIONS FOR FRACTIONAL SCHRODINGER-MAXWELL EQUATIONS
被引:17
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作者:
Xu, Jiafa
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机构:
Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R ChinaChongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
Xu, Jiafa
[1
]
Wei, Zhongli
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机构:
Shandong Jianzhu Univ, Dept Math, Jinan 250101, Shandong, Peoples R ChinaChongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
Wei, Zhongli
[2
]
O'Regan, Donal
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Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, IrelandChongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
O'Regan, Donal
[3
]
Cui, Yujun
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Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control Cofo, Qingdao 266590, Shandong, Peoples R ChinaChongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
Cui, Yujun
[4
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机构:
[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
[2] Shandong Jianzhu Univ, Dept Math, Jinan 250101, Shandong, Peoples R China
[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
[4] Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control Cofo, Qingdao 266590, Shandong, Peoples R China
In this paper using fountain theorems we study the existence of infinitely many solutions for fractional Schrodinger-Maxwell equations {(-Delta)(alpha)u + lambda V(x)u + phi u = f(x,u) - mu g(x)vertical bar u vertical bar(q-2)u, in R-3, (-Delta)(alpha)phi = K(alpha)u(2), in R-3, where lambda, mu > 0 are two parameters, alpha is an element of (0,1], K-alpha = pi(-alpha)Gamma(alpha)/pi(-(3-2 alpha)/2)Gamma((3-2 alpha)/2) and (-Delta)(alpha) is the fractional Laplacian. Under appropriate assumptions on f and g we obtain an existence theorem for this system.
机构:
Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
Sichuan Univ Sci & Engn, Dept Sci, Zigong 643000, Peoples R ChinaSouthwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
Li, Lin
Chen, Shang-Jie
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机构:
Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R ChinaSouthwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
机构:
Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China