On some nonlinear fractional equations involving the Bessel operator

Simone Secchi

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arXiv · 1506.03982

On some nonlinear fractional equations involving the Bessel operator

Simone Secchi

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Abstract

Under different assumptions on the potential functions $b$ and $c$, we study the fractional equation $\left( I-Δ\right)^α u = λb(x) |u|^{p-2}u+c(x)|u|^{q-2}u$ in $\mathbb{R}^N$. Our existence results are based on compact embedding properties for weighted spaces.

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Simone Secchi. 2015-06-12. On some nonlinear fractional equations involving the Bessel operator. https://arxiv.org/abs/1506.03982

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