Abstract
We study the behavior of radial solutions to the boundary value problem $$ -{\varDelta}_pu+{u}^{p-1}={\left|x\right|}^a{u}^{q-1}\; in\;B,\kern1em \frac{\partial u}{\mathrm{\partial n}}=0\; on\;\partial B,\kern1em q>p, $$ 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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