Quasilinear elliptic equations on mathbbRN{mathbb{R}^{N}} with singular potentials and bounded nonlinearity |
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| Authors: | Jiabao Su |
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| Affiliation: | (1) Dipartimento di Matematica, Universit? di Torino, Torino, Italy |
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| Abstract: | We study the existence and multiplicity of nontrivial radial solutions of the quasilinear equation | {ll-div(|?u|p-2?u)+V(|x|)|u|p-2u=Q(|x|)f(u), x ? mathbbRN,u(x) ? 0, |x|? ￥left{begin{array}{ll}-{div}(|nabla u|^{p-2}nabla u)+V(|x|)|u|^{p-2}u=Q(|x|)f(u),quad xin mathbb{R}^N,u(x) rightarrow 0, quad |x|rightarrow infty end{array}right. |
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