𝔖 Bobbio Scriptorium
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A Critical Problem

✍ Scribed by LAMB, H. H.


Book ID
109682239
Publisher
Nature Publishing Group
Year
1972
Tongue
English
Weight
249 KB
Volume
237
Category
Article
ISSN
0028-0836

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## Abstract It is shown that the Dirichlet problem for where Ξ©βŠ‚β„__^n^__ is critical in that it has first eigenvalue one, is globally solvable for any continuous positive initial datum vanishing at __βˆ‚__Ξ©. Moreover, for __p__<3 all solutions are bounded and tend to some nonnegative eigenfunction of