Singularity of the extremal solution for supercritical biharmonic equations with power-type nonlinearity
نویسندگان
چکیده
منابع مشابه
Supercritical biharmonic equations with power-type nonlinearity
The biharmonic supercritical equation ∆u = |u|p−1u, where n > 4 and p > (n + 4)/(n − 4), is studied in the whole space R as well as in a modified form with λ(1 + u) as right-hand-side with an additional eigenvalue parameter λ > 0 in the unit ball, in the latter case together with Dirichlet boundary conditions. As for entire regular radial solutions we prove oscillatory behaviour around the expl...
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ژورنال
عنوان ژورنال: Chinese Annals of Mathematics, Series B
سال: 2017
ISSN: 0252-9599,1860-6261
DOI: 10.1007/s11401-017-1097-2