On the Classification of Stable Solutions of some elliptic equations in half-space

Abdelbaki Selmi; Cherif Zaidi; Foued Mtiri

arxiv: 2107.04999 · v1 · pith:55JT3KUG · submitted 2021-07-11 · math.AP · math.CA

On the Classification of Stable Solutions of some elliptic equations in half-space

Foued Mtiri , Abdelbaki Selmi , Cherif Zaidi This is my paper

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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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On the Classification of Stable Solutions of some elliptic equations in half-space

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