The concentration-compactness principle for the nonlocal anisotropic $p$-Laplacian of mixed order (Q6097516)

scientific article; zbMATH DE number 7692884

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English	The concentration-compactness principle for the nonlocal anisotropic $p$-Laplacian of mixed order	scientific article; zbMATH DE number 7692884

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title

The concentration-compactness principle for the nonlocal anisotropic $p$-Laplacian of mixed order (English)

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zbMATH Open document ID

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10.1016/j.na.2023.113254

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Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

5 June 2023

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full work available at URL

https://arxiv.org/abs/2105.13612

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Mathematics Subject Classification ID

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concentration-compactness principle

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anisotropy

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orthotropic structure

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nonlocal operator

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Sobolev inequality

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quasilinear equation

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$p$-Laplacian

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MaRDI profile type

MaRDI publication profile

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OpenAlex ID

W3172910312

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cites work

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Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire

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Q3496845

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Lipschitz regularity for orthotropic functionals with nonstandard growth conditions

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Characterisation of homogeneous fractional Sobolev spaces

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Optimal decay of extremals for the fractional Sobolev inequality

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Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents

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Regularity estimates for fractional orthotropic $p$-Laplacians of mixed order

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Existence of positive eigenfunctions to an anisotropic elliptic operator via the sub-supersolution method

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Best constants for Sobolev inequalities for higher order fractional derivatives

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Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné

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Existence and Regularity Results for Anisotropic Elliptic Problems

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Nonlinear eigenvalues for anisotropic quasilinear degenerate elliptic equations

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Extremal functions for the anisotropic Sobolev inequalities

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Multiple solutions for a class of <i>p</i> ( <i>x</i> )-Laplacian equations in involving the critical exponent

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On degenerate $p(x)$-Laplace equations involving critical growth with two parameters

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On the theory of embedding of anisotropic Sobolev spaces

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Q5890172

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The concentration-compactness principle in the calculus of variations. The locally compact case. I

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The concentration-compactness principle in the calculus of variations. The locally compact case. II

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The concentration-compactness principle in the calculus of variations. The limit case. I

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Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions

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Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces

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Existence results for an anisotropic nonlocal problem involving critical and discontinuous nonlinearities

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mardi Publication:6097516

The concentration-compactness principle for the nonlocal anisotropic \(p\)-Laplacian of mixed order (Q6097516)

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Mathematics(1 entry)