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Classification of Finite Morse Index Solutions for Robin Boundary Value Problems

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Abstract

In this article, we study the nonexistence of solution with finite Morse index for the following nonlinear elliptic equation −Δu = |u|p− 1u with \(\frac{\partial u}{\partial\upsilon}+cu=0\;on\;\partial\mathbb{R}_+^N\).

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Acknowledgements

The author would like to thank the anonymous referee for his/her careful reading and valuable comments.

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Correspondence to Khouloud Ghabi.

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Ghabi, K. Classification of Finite Morse Index Solutions for Robin Boundary Value Problems. J Dyn Control Syst 29, 1175–1185 (2023). https://doi.org/10.1007/s10883-022-09615-z

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  • DOI: https://doi.org/10.1007/s10883-022-09615-z

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