Coron's problem for the critical Lane-Emden system
نویسندگان
چکیده
We address the solvability of critical Lane-Emden system in a smooth bounded domain with small spherical hole radius ϵ>0. prove that admits family positive solutions concentrate around center as ϵ→0, obtaining concrete qualitative description well. To best our knowledge, this is first existence result for on domain, while non-existence star-shaped domains has been known since early 1990s due to Mitidieri (1993) [30] and van der Vorst (1992) [36].
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2023
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2023.110077