Towards existence theorems to affine \(p\)-Laplace equations via variational approach (Q6193431)

scientific article; zbMATH DE number 7819602

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English	Towards existence theorems to affine \(p\)-Laplace equations via variational approach	scientific article; zbMATH DE number 7819602

Statements

instance of

scholarly article

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title

Towards existence theorems to affine \(p\)-Laplace equations via variational approach (English)

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author

Edir Junior Ferreira Leite

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Marcos Montenegro

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published in

Calculus of Variations and Partial Differential Equations

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publication date

16 March 2024

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00526-024-02678-9

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cites work

Dual variational methods in critical point theory and applications

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The Ambrosetti–Prodi Problem for thep-Laplace Operator

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Q3778373

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Affine Moser-Trudinger and Morrey-Sobolev inequalities

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Lectures on the Ekeland variational principle with applications and detours. Lectures delivered at the Indian Institute of Science, Bangalore, India under the T.I.F.R.-I.I.Sc. programme in applications of mathematics

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The sharp affine \(L^2\) Sobolev trace inequality and variants

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Q3803507

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Q4867016

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On the variational principle

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On the asymptotics of solutions of the Lane-Emden problem for the \(p\)-Laplacian

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Asymmetric affine \(L_p\) Sobolev inequalities

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Sharp affine Sobolev type inequalities via the \(L_{p}\) Busemann-Petty centroid inequality

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Sharp affine weighted 𝐿^{𝑝} Sobolev type inequalities

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Asymmetric Blaschke-Santaló functional inequalities

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From affine Poincaré inequalities to affine spectral inequalities

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An L p-Functional Busemann–Petty Centroid Inequality

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Q4447937

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Sharp Sobolev inequalities via projection averages

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Minimization to the Zhang's energy on \(BV (\Omega)\) and sharp affine Poincaré-Sobolev inequalities

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Valuations on Sobolev spaces

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Sharp convex Lorentz-Sobolev inequalities

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\(L_ p\) affine isoperimetric inequalities.

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Sharp affine \(L_ p\) Sobolev inequalities.

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Optimal Sobolev norms and the Lp Minkowski problem

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A functional Busemann intersection inequality

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New approach to the affine Pólya-Szegö principle and the stability version of the affine Sobolev inequality

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The sharp affine \(L_2\) Sobolev trace inequality and affine energy in the fractional Sobolev spaces

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Sharp Gagliardo-Nirenberg trace inequalities via mass transportation method and their affine versions

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Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations

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Q3749777

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Compactness properties and ground states for the affine Laplacian

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Q3997570

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Concentration Compactness

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The affine Sobolev-Zhang inequality on BV(\(\mathbb R^n)\)

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The affine Sobolev inequality.

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Identifiers

DOI

10.1007/s00526-024-02678-9

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6193431