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• W3099007801 abstract "For $p>2$, we consider the quasilinear equation $-Delta_p u+|u|^{p-2}u=g(u)$ in the unit ball $B$ of $mathbb R^N$, with homogeneous Neumann boundary conditions. The assumptions on $g$ are very mild and allow the nonlinearity to be possibly supercritical in the sense of Sobolev embeddings. We prove the existence of a nonconstant, positive, radially nondecreasing solution via variational methods. In the case $g(u)=|u|^{q-2}u$, we detect the asymptotic behavior of these solutions as $qtoinfty$." @default.
• W3099007801 created "2020-11-23" @default.
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• W3099007801 date "2017-01-01" @default.
• W3099007801 modified "2023-10-13" @default.
• W3099007801 title "A <i>p</i>-Laplacian supercritical Neumann problem" @default.
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• W3099007801 doi "https://doi.org/10.3934/dcds.2017130" @default.
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