infinitely many solutions for sublinear kirchhoff equations in r^n with sign-changing potentials

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ID: 171027
2013
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Ranked #184 of 219 articles by views in icsoft 2006 - 1st international conference on software and data technologies, proceedings

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Abstract
In this article we study the Kirchhoff equation $$ -Big(a+b int_{mathbb{R}^N}|abla u|^2dxBig)Delta u+V(x)u = K(x)|u|^{q-1}u, quadhbox{in }mathbb{R}^N, $$ where $Ngeq 3$, $00$ are constants and $K(x), V(x)$ both change sign in $mathbb{R}^N$. Under appropriate assumptions on V(x), K(x), the existence of infinitely many solutions is proved by using the symmetric Mountain Pass Theorem.
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bahrouni2013electronicinfinitely Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Anouar Bahrouni
Journal icsoft 2006 - 1st international conference on software and data technologies, proceedings
Year 2013
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