arXiv:2107.04999 Abstract | arXiv Analytics

arXiv:2107.04999 [math.AP]Abstract References Reviews Resources

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

Foued Mtiri, Abdelbaki Selmi, Cherif Zaidi

Published 2021-07-11Version 1

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.

Categories: math.AP, math.CA

Keywords: stable solutions, elliptic equations, half-space, classification, mixed nonlinear boundary conditions

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arXiv:2107.04999 [math.AP]Abstract References Reviews Resources

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

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arXiv:2107.04999 [math.AP]AbstractReferencesReviewsResources

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

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arXiv:2107.04999 [math.AP]Abstract References Reviews Resources