5 Result(s)
within
Nicolas Saintier
Analysis
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Article
The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem
In this paper we extend the well-known concentration-compactness principle for the Fractional Laplacian operator in unbounded domains. As an application we show sufficient conditions for the existence of solut...
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Article
Local existence conditions for an equations involving the \({{\varvec{p}}}({{\varvec{x}}})\) -Laplacian with critical exponent in \({\mathbb {R}}^N\)
The purpose of this paper is to formulate sufficient existence conditions for a critical equation involving the p(x)-Laplacian of the form (0.1) below posed in
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Article
Asymptotic in Sobolev spaces for symmetric Paneitz-type equations on Riemannian manifolds
We describe the asymptotic behaviour in Sobolev spaces of sequences of solutions of Paneitz-type equations [Eq. (E α ) below] on a compact Riemannian man...
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Article
Blow-up theory for symmetric critical equations involving the p-Laplacian
We describe in this paper the asymptotic behaviour in Sobolev spaces of sequences of solutions of critical equations involving the p-Laplacian (see equations (E α) below) on a comp...
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Article
Asymptotic estimates and blow-up theory for critical equations involving the p-Laplacian
We prove the SH1 p —theory for critical equations involving the p-Laplace operator on compact manifolds. We also prove pointwise estimates for these equations.
