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On the Classification of Stable Solutions of some elliptic equations in half-space
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classification
math.APmath.CA
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solutionsstableellipticsomeblowingboundaryclassificationconcerned
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In this paper, we are concerned with stable solutions , possibly unbounded and sign-changing, of some semi-linear elliptic problem with mixed nonlinear boundary conditions. We establish the nonexistence of stable solutions, the main methods used are the Pohozaev identity, monotonicity formula of solutions together with a blowing down sequence.
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