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• W2962695181 abstract "In this article, we study the existence ofnon-negative solutions of the following polyharmonic Kirchhoff type problem with critical singular exponential nolinearitybegin{eqnarray} -Mleft(int_Omega |nabla^m u|^{frac{n}{m}}dxright)Delta_{frac{n}{m}}^{m} u = frac{f(x,u)}{|x|^alpha} ; text{in};Omega{,} quad u = nabla u=cdots= {nabla}^{m-1} u=0 quad text{on} quad partial Omega{,} end{eqnarray}where $Omegasubset R^n$ is a bounded domain with smooth boundary, $0 In the later part of the paper, we also discuss the above problem with convex-concave type sign changing nonlinearity. Using {the} Nehari manifold technique, we show the existence and multiplicity of non-negative solutions." @default.
• W2962695181 created "2019-07-30" @default.
• W2962695181 creator A5055797382 @default.
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• W2962695181 date "2016-07-01" @default.
• W2962695181 modified "2023-10-18" @default.
• W2962695181 title "Polyharmonic Kirchhoff type equations with singular exponential nonlinearities" @default.
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• W2962695181 doi "https://doi.org/10.3934/cpaa.2016009" @default.
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