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math.AP2025
Normalized solution to Kirchhoff-fractional system involving critical Choquard nonlinearity
Divya Goel, Shilpa Gupta, Asmita Rai
In this article, we explore the fractional Kirchhoff-Choquard system given by $$ \left\{ \begin{array}{lr} (a+b\int_{\mathbb{R}^N}|(-Δ)^{\frac{s}{2}} u|^2\;dx)(-Δ)^su=λ_1u+(I_μ*|v|…
math.AP2025
Fractional -Laplace systems with critical Hardy nonlinearities: Existence and Multiplicity
Nirjan Biswas, Paramananda Das, Shilpa Gupta
Let be a bounded open set containing zero, and . In this paper, we first deal with the existence, non-existence and some pr…