Articles with "choquard equation" as a keyword



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Nodal solutions for a fractional Choquard equation

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Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.04.048

Abstract: Abstract In this paper, we study the existence of nodal solutions for the following fractional Choquard equation ( − △ ) α u + u = ∫ R N | u ( z ) |… read more here.

Keywords: choquard equation; fractional choquard; nodal solutions; solutions fractional ... See more keywords
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Existence and concentration of ground states for a Choquard equation with competing potentials

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Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.04.065

Abstract: Abstract In this paper, we are concerned with the following Choquard equation in R 3 that − ϵ 2 Δ u + V ( x ) u = ϵ μ − 3 [ ( ∫… read more here.

Keywords: ground states; existence concentration; ground; choquard equation ... See more keywords
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Infinitely many sign-changing solutions for Choquard equation with doubly critical exponents

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Published in 2020 at "Complex Variables and Elliptic Equations"

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