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We obtain infinitely many solutions for a class of fractional Schr\"odinger equation, where the nonlinearity is superquadratic or involves a combination of superquadratic and subquadratic terms at infinity. By using some weaker conditions, our results extend and improve some existing results in the literature.
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참고문헌 (34)
참고문헌 신청
V. Ambrosio / 2016 / Ground states for superlinear fractional Schrodinger equations in RN / Ann. Acad. Sci. Fenn. Math 41(2):745~756
V. Ambrosio / 2016 / Multiple solutions for a fractional p-Laplacian equation with sign-changing potential / Electron. J. Dierential Equations :12
V. Ambrosio / 2018 / Sign-changing solutions for a class of Schrodinger equations with vanishing potentials / Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl 29(1):127~152
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 / 2005 / Handbook of Dierential equations-Stationary Partial Dierential Equations, Vol. 2 / Elsevier :1~55
V. Ambrosio / 2016 / Multiple solutions for a fractional p-Laplacian equation with sign-changing potential / Electron. J. Dierential Equations :12
V. Ambrosio / 2018 / Sign-changing solutions for a class of Schrodinger equations with vanishing potentials / Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl 29(1):127~152
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 / 2005 / Handbook of Dierential equations-Stationary Partial Dierential Equations, Vol. 2 / Elsevier :1~55
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