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- W4311251493 abstract "In this paper we consider lower order perturbations of the critical Lane-Emden system posed on a bounded smooth domain $Omega subset mathbb{R}^N$, with $N geq3$, inspired by the classical results of Brezis and Nirenberg cite{BrezisNirenberg1983}. We solve the problem of finding a positive solution for all dimensions $N geq 4$. For the critical dimension $N=3$ we show a new phenomenon, not observed for scalar problems. Namely, there are parts on the critical hyperbola where solutions exist for all $1$-homogeneous or subcritical superlinear perturbations and parts where there are no solutions for some of those perturbations." @default.
- W4311251493 created "2022-12-25" @default.
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- W4311251493 date "2022-12-09" @default.
- W4311251493 modified "2023-09-23" @default.
- W4311251493 title "On Hamiltonian systems with critical Sobolev exponents" @default.
- W4311251493 doi "https://doi.org/10.48550/arxiv.2212.04841" @default.
- W4311251493 hasPublicationYear "2022" @default.
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