Title: A necessary condition on existence of non-trivial strong solution to the semilinear elliptic equation with the first eigenvalue, Involving the critical Sobolev exponent, and so on
Abstract: In this paper, non-existence theorems of positive or negative strong solution to the (semilinear) elliptic equation(-Δu=λ_1u+|u|~(2~*-2)u)with zero boundary condition, involving the first eigenvalue and the critical Sobolev exponent, were given. At the same time, a necessary condition on existence of non-trivial strong solution for the semilinear elliptic equation was considered.
Publication Year: 2003
Publication Date: 2003-01-01
Language: en
Type: article
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