Existence of Ground State Solutions for Fractional Schrödinger–Poisson Systems with Doubly Critical Growth
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DOI: 10.1007/s00009-020-01660-x
Abstract: This paper considers a class of fractional Schrodinger–Poisson type systems with doubly critical growth $$\begin{aligned} \left\{ \begin{array}{ll} (-\Delta )^su+V(x)u-\phi |u|^{2^*_s-3}u=K(x)|u|^{2^*_s-2}u,&{} \text{ in } {\mathbb {R}}^3,\\ (-\Delta )^s\phi =|u|^{2^*_s-1},&{} \text{ in } {\mathbb {R}}^3, \end{array}\right. \end{aligned}$$… read more here.
Keywords: ground state; systems doubly; doubly critical; state solutions ... See more keywords
Infinitely many sign-changing solutions for Choquard equation with doubly critical exponents
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DOI: 10.1080/17476933.2020.1825394
Abstract: In this paper, we consider the following Choquard equation: where , , is the Riesz potential, and , where and are lower and upper critical exponents in sense of the Hardy–Littlewood–Sobolev inequality. Based on perturbation… read more here.
Keywords: infinitely many; choquard equation; equation; many sign ... See more keywords