The existence of multiple solutions for a class of upper critical Choquard equation in a bounded domain

In this article, we consider the following Choquard equation with upper critical exponent: [formula], x ∈ Ω where μ > 0 is a parameter, N > 4, 0 < α < N , […] is the Riesz potential, […] is a bounded domain with smooth boundary, and ƒ and g are continuous functions. For μ small enough, using variational methods, we establish the relationship between the number of solutions and the profile of potential g.

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Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).