We consider the quasilinear Neumann problem for equation with p-Laplacian in expanding three-dimensional balls. We prove that the number of essentially different positive solutions uboundedly increases with growth of radius.
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To Nina Nikolaevna, our Teacher
Translated from Problemy Matematicheskogo Analiza 78, January 2015, pp. 85-94.
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Enin, A.I., Nazarov, A.I. Multiplicity of Solutions to the Quasilinear Neumann Problem in the 3-Dimensional Case. J Math Sci 207, 206–217 (2015). https://doi.org/10.1007/s10958-015-2366-9
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DOI: https://doi.org/10.1007/s10958-015-2366-9