نتایج جستجو برای: blow up
تعداد نتایج: 929398 فیلتر نتایج به سال:
Journal:
:Mathematical Modelling of Natural Phenomena
2010
Journal:
:International Journal of Bifurcation and Chaos
2011
2002
SEICK KIM
Assume that Ω is a bounded domain in Rn with n ≥ 2. We study positive solutions to the problem, ∆u = up in Ω, u(x)→∞ as x→ ∂Ω, where p > 1. Such solutions are called boundary blow-up solutions of ∆u = up. We show that a boundary blow-up solution exists in any bounded domain if 1 < p < n n−2 . In particular, when n = 2, there exists a boundary blow-up solution to ∆u = up for all p ∈ (1,∞). We al...
Journal:
:Journal of Mathematical Analysis and Applications
2011
Journal:
:Proceedings of the American Mathematical Society
1988
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