Existence of infinitely many solutions for degenerate Kirchhoff-type Schrödinger-Choquard equations
Texas State University, Department of Mathematics
In this article we study a class of Kirchhoff-type Schrödinger-Choquard equations involving the fractional p-Laplacian. By means of Kajikiya's new version of the symmetric mountain pass lemma, we obtain the existence of infinitely many solutions which tend to zero under a suitable value of λ. The main feature and difficulty of our equations arise in the fact that the Kirchhoff term M could vanish at zero, that is, the problem is degenerate. To our best knowledge, our result is new even in the framework of Schrödinger-Choquard problems.
Kirchhoff-type problems, Schrödinger-Choquard equations, Fractional p-Laplacian, Critical exponent, Variational methods
Liang, S., & Radulescu, V. D. (2017). Existence of infinitely many solutions for degenerate Kirchhoff-type Schrödinger-Choquard equations. <i>Electronic Journal of Differential Equations, 2017</i>(230), pp. 1-17.
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