We study the behavior of radial solutions to the boundary value problem
in the unit ball B and prove the existence of nonradial positive solutions for some values of parameters. We obtain multiplicity results which are new even in the case p = 2.
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Translated from Problemy Matematicheskogo Analiza 95, 2018, pp. 103-114.
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Shcheglova, A.P. The Neumann Problem for the Generalized Hénon Equation. J Math Sci 235, 360–373 (2018). https://doi.org/10.1007/s10958-018-4078-4
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DOI: https://doi.org/10.1007/s10958-018-4078-4