Least energy radial sign-changing solutions for a singular elliptic equation in lower dimensions (Q2876620)

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scientific article; zbMATH DE number 6332019
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Least energy radial sign-changing solutions for a singular elliptic equation in lower dimensions
scientific article; zbMATH DE number 6332019

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    Least energy radial sign-changing solutions for a singular elliptic equation in lower dimensions (English)
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    19 August 2014
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    Nehari manifold
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    singularity
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    least energy
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    sign-changing solutions
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    Conditions are given on the parameters in the problem NEWLINE\[NEWLINE -\text{div}(|x|^{-2a}\nabla u) - \mu\frac{u}{|x|^{2(1+a)}} = \frac{|u|^{p-2}u}{|x|^{bp}} + \lambda \frac{u}{|x|^{dD}}\quad \text{ in } \Omega, NEWLINE\]NEWLINE for \(\Omega\) the unit ball in \({\mathbb R}^N\), so that the Dirichlet problem with zero boundary conditions admits a radial, sign-changing solution which minimizes the associated energy functional.
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