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Uniqueness of the ground state solution for Δuu+u 3=0 and a variational characterization of other solutions

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Communicated by J. Serrin

The author wishes to acknowledge several very helpful conversations with Dr. C. Bandle and Prof. Z. Nehari, and in particular is grateful to the former for suggesting the use of the Schwarz symmetrization.

This research was supported by National Science Foundation Grant GP-21512.

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Coffman, C.V. Uniqueness of the ground state solution for Δuu+u 3=0 and a variational characterization of other solutions. Arch. Rational Mech. Anal. 46, 81–95 (1972). https://doi.org/10.1007/BF00250684

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