Solutions with large number of peaks for the supercritical Hénon equation
نویسندگان
چکیده
منابع مشابه
Concentrating solutions for the Hénon equation in IR 2 ∗
We consider the boundary value problem ∆u + |x| 2α u p = 0, α > 0, in the unit ball B with homogeneous Dirichlet boundary condition and p a large exponent. We find a condition which ensures the existence of a positive solution up concentrating outside the origin at k symmetric points as p goes to +∞. The same techniques lead also to a more general result on general domains. In particular, we ha...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2016
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2016.280.115