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• W1569588283 abstract "Let $1<p<N$, $p^{*}=Np/(N-p)$, $0<s<p$, $p^{*}(s)=(N-s)p/(N-p)$, and $Omin C^{1}$ be a bounded domain in $R^{N}$ with $0inbar{Om}.$ In this paper, we study the following problem [ begin{cases} -Delta_{p}u=mu|u|^{p^{*}-2}u+frac{|u|^{p^{*}(s)-2}u}{|x|^{s}}+a(x)|u|^{p-2}u, & text{in }Om, u=0, & text{on }paOm, end{cases} ] where $muge0$ is a constant, $De_{p}$ is the $p$-Laplacian operator and $ain C^{1}(bar{Om})$. By an approximation argument, we prove that if $N>p^{2}+p,a(0)>0$ and $Omega$ satisfies some geometry conditions if $0inpartialOmega$, say, all the principle curvatures of $partialOmega$ at $0$ are negative, then the above problem has infinitely many solutions." @default.
• W1569588283 created "2016-06-24" @default.
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• W1569588283 date "2014-07-30" @default.
• W1569588283 modified "2023-09-26" @default.
• W1569588283 title "Infinitely many solutions for p-Laplacian equation involving double critical terms and boundary geometry" @default.
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• W1569588283 doi "https://doi.org/10.48550/arxiv.1407.7982" @default.
• W1569588283 hasPublicationYear "2014" @default.
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