Existence results for semilinear elliptic equations with some lack of coercivity

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS(2008)

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摘要
We consider the following problem: -div(A(x, u)del u) = u(s) + f (x) in Omega, u(x) >= 0 in Omega, u(x) = 0 on partial derivative Omega, where Omega is an open bounded subset of R-N, N >= 3, and A : Omega x R --> M-N x N is an elliptic matrix such that when u --> infinity is non-coercive.
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