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Existence of infinitely many solutions for degenerate Kirchhoff-type Schrödinger-Choquard equations [Elektronski vir]
Liang, Sihua ; Rǎdulescu, Vicenţiu, 1958-
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 ▫$\lambda$▫. 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.
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