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Sharma, Nidhi Nidhi","submitted_at":"2026-06-01T12:08:55Z","abstract_excerpt":"In this article, we study the existence of normalized solutions to the following mixed nonlinear Choquard equation with exponential growth\n  \\begin{align*}\n  \\left\\{\n  \\begin{aligned}\n  \\mathcal{L}u+\\lambda u \\; &=\\; \\Lambda(I_{\\alpha}\\ast F(u))F'(u), \\quad \\text{in }\\mathbb{R}^{2},\n  \\int_{\\mathbb{R}^{2}}|u|^{2}\\,dx \\; &=\\; a^{2},\n  \\end{aligned}\n  \\right.\n  \\end{align*}\n  where $\\mathcal{L}= -\\Delta+(-\\Delta)^s$, $0<s<1$, $a>0$, $I_{\\alpha}$ is the Riesz potential of order $\\alpha\\in (0,2)$, $\\Lambda>0$ is a parameter and $\\lambda\\in \\mathbb{R}$ appears as a Lagrange multiplier. 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