科研之友
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摘要
This paper is devoted to the study of semi-stable radial solutions u is not an element of H-1(B-1) of -Delta u = f(u) in (B-1) over bar\{0} = {x is an element of R-N : 0 < vertical bar x vertical bar <= 1}, where f is an element of C-1 (R) and N >= 2. We establish sharp pointwise estimates for such solutions. In addition, we prove that in dimension N = 2, any semi-stable radial weak solution of -Delta u = f(u), posed in B-1 with Dirichlet data u vertical bar(partial derivative B1) = 0, is regular.
- 出版日期2016-6
