Uniqueness of Positive Solutions for Elliptic Dirichlet Problems
In this paper we consider the question of uniqueness of positive solutions for Dirichlet problems of the form - Δ u(x)= g(λ,u(x)) in B, u(x) = 0 on ϑB, where A is the Laplace operator, B is the unit ball in RˆN, and A>0. We show that if g(λ,u)=uˆ(N+2)/(N-2) + λ, that is g has "critical grow...
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| Format: | Others |
| Language: | English |
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University of North Texas
1990
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| Online Access: | https://digital.library.unt.edu/ark:/67531/metadc330654/ |