Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases

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2024年1月25日

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Sami Baraket,
Anis Ben Ghorbal,
Rima Chetouane,
Azedine Grine

摘要

This paper is devoted to the existence of singular limit solutions for a nonlinear elliptic system of Liouville type under Navier boundary conditions in a bounded open domain of $R^{4}$ $\mathbb{R}^{4}$ . The concerned results are obtained employing the nonlinear domain decomposition method and a Pohozaev-type identity.