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In this paper, we study the existence of infinitely many large energy solutions for the supercubic fractional Schr\"{o}dinger-Poisson systems. We consider different superlinear growth assumptions on the nonlinearity, starting from the well-know Ambrosetti-Rabinowitz type condition. We obtain three different existence results in this setting by using the Fountain Theorem, all these results extend some results for semelinear Schr\"{o}dinger-Poisson systems to the nonlocal fractional setting.
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참고문헌 (35)
참고문헌 신청
A. Ambrosetti / 2008 / On Schrodinger-Poisson systems / Milan J. Math 76:257~274
A. Ambrosetti / 1973 / Dual variational methods in critical point theory and applications / J. Functional Analysis 14:349~381
A. Azzollini / 2010 / Concentration and compactness in nonlinear Schrodinger-Poisson system with a general nonlinearity / J. Dierential Equations 249(7):1746~1763
P. Bartolo / 1983 / Abstract critical point theorems and applications to some nonlinear problems with \strong"resonance at innity / Nonlinear Anal 7(9):981~1012
T. Bartsch / 1993 / Innitely many solutions of a symmetric Dirichlet problem / Nonlinear Anal 20(10):1205~1216
A. Ambrosetti / 1973 / Dual variational methods in critical point theory and applications / J. Functional Analysis 14:349~381
A. Azzollini / 2010 / Concentration and compactness in nonlinear Schrodinger-Poisson system with a general nonlinearity / J. Dierential Equations 249(7):1746~1763
P. Bartolo / 1983 / Abstract critical point theorems and applications to some nonlinear problems with \strong"resonance at innity / Nonlinear Anal 7(9):981~1012
T. Bartsch / 1993 / Innitely many solutions of a symmetric Dirichlet problem / Nonlinear Anal 20(10):1205~1216
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