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arXiv · 2107.04999

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

Foued Mtiri·Abdelbaki Selmi·Cherif Zaidi
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Abstract

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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Foued Mtiri, Abdelbaki Selmi, Cherif Zaidi. 2021-07-11. On the Classification of Stable Solutions of some elliptic equations in half-space. https://arxiv.org/abs/2107.04999

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