On some weighted fourth-order equations (Q6041822)

scientific article; zbMATH DE number 7686122

Language	Label	Description	Also known as
English	On some weighted fourth-order equations	scientific article; zbMATH DE number 7686122

Statements

instance of

scholarly article

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title

On some weighted fourth-order equations (English)

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Journal of Differential Equations

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publication date

15 May 2023

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zbMATH Keywords

Caffarelli-Kohn-Nirenberg inequalities

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Hardy-Hénon equation

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non-degeneracy

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remainder terms

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jde.2023.03.054

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cites work

Sign-changing solutions at the almost Hénon critical exponent

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Problèmes isoperimetriques et espaces de Sobolev

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Singular limits for a 4-dimensional semilinear elliptic problem with exponential nonlinearity

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A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator

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A note on the Sobolev inequality

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A new dynamical approach of Emden-Fowler equations and systems

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Bifurcation analysis of the Hardy-Sobolev equation

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Sobolev inequalities with remainder terms

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Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

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Q3676658

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Sign-changing bubble tower solutions for the supercritical Hénon-type equations

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The Hénon-Lane-Emden system: a sharp nonexistence result

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Remainder terms in the fractional Sobolev inequality

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Sign-changing bubble tower solutions for a supercritical elliptic problem with the Hénon term

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A Liouville theorem for the subcritical Lane-Emden system

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Estimates on Pull-In Distances in Microelectromechanical Systems Models and Other Nonlinear Eigenvalue Problems

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On the Hardy–Sobolev equation

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Some weighted fourth-order Hardy-Hénon equations

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Critical exponents, critical dimensions and the biharmonic operator

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Sign-changing solutions for critical equations with Hardy potential

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Bubbling solutions to an anisotropic Hénon equation

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On the Hénon-Lane-Emden conjecture

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Sharp gradient stability for the Sobolev inequality

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Non-degeneracy for the critical Lane–Emden system

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Supercritical elliptic problem with nonautonomous nonlinearities

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Linear perturbations for the critical Hénon problem.

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Nonradial solutions for the Hénon equation in \(\mathbb R^N\)

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Symmetry breaking and Morse index of solutions of nonlinear elliptic problems in the plane

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Embeddings of weighted Sobolev spaces and a weighted fourth-order elliptic equation

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Classification to the positive radial solutions with weighted biharmonic equation

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Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities

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A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)

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

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Bubble tower phenomena for an almost critical Hénon type problem

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Bubble solutions for Hénon type equation with nearly critical exponent in \(\mathbb{R}^N\)

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Qualitative analysis of single peaked solutions for the supercritical Hénon problem

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On a Sobolev inequality with remainder terms

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On a class of elliptic problems in R<sup>2</sup>: symmetry and uniqueness results

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Hardy-Sobolev inequalities with remainder terms.

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Best constant in Sobolev inequality

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Best constant for the embedding of the space \(H^ 2\cap H^ 1_ 0(\Omega)\) into \(L^{2N/(N-4)}\Omega\)

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On the stability of the Caffarelli-Kohn-Nirenberg inequality

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Classification of solutions of higher order conformally invariant equations

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Classification of positive radial solutions to a weighted biharmonic equation

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Identifiers

zbMATH Open document ID

1514.35009

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DOI

10.1016/j.jde.2023.03.054

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6041822