Geodesic
Multiplicity of solutions of the Dirichlet problem for an equation with the $p$-Laplacian in a~three-dimensional spherical layer
Algebra i analiz, Tome 22 (2010) no. 3, pp. 206-221.

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The equation $-\Delta_pu=u^{q-1}$ with zero Dirichlet condition on the boundary is considered in a three-dimensional spherical layer. The existence of arbitrarily many distinct positive solutions in a sufficiently thin layer is proved.
Keywords: $p$-Laplacian, existence of many solutions. 
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S. B. Kolonitskiǐ. Multiplicity of solutions of the Dirichlet problem for an equation with the $p$-Laplacian in a~three-dimensional spherical layer. Algebra i analiz, Tome 22 (2010) no. 3, pp. 206-221. http://geodesic.mathdoc.fr/item/AA_2010_22_3_a10/

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