Classification and non-degeneracy of positive radial solutions for a weighted fourth-order equation and its application (Q6141060)

scientific article; zbMATH DE number 7792519

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English	Classification and non-degeneracy of positive radial solutions for a weighted fourth-order equation and its application	scientific article; zbMATH DE number 7792519

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instance of

scholarly article

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title

Classification and non-degeneracy of positive radial solutions for a weighted fourth-order equation and its application (English)

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

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publication date

22 January 2024

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full work available at URL

https://arxiv.org/abs/2308.06014

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zbMATH Keywords

weighted fourth-order equation

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radial solutions

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MaRDI profile type

MaRDI publication profile

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cites work

Sign-changing solutions at the almost Hénon critical exponent

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Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics

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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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Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials

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A note on the Sobolev inequality

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Bifurcation analysis of the Hardy-Sobolev equation

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Sobolev inequalities with remainder terms

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Q3676658

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On some weighted fourth-order equations

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Some weighted fourth-order Hardy-Hénon equations

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Nonoscillation and Eventual Disconjugacy

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Sign-changing solutions for critical equations with Hardy potential

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Existence of conformal metrics on \(S^ n\) with prescribed fourth-order invariant.

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Perturbation results of critical elliptic equations of Caffarelli-Kohn-Nirenberg type.

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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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New types of Caffarelli-Kohn-Nirenberg inequalities and applications

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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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Interpolation inequalities with weights

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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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On a Sobolev inequality with remainder terms

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Sharp inequalities for functional integrals and traces of conformally invariant operators.

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Rellich inequalities with weights

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Radially symmetric solutions to the Hénon–Lane–Emden system on the critical hyperbola

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The best sobolev constant

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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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Classification of positive radial solutions to a weighted biharmonic equation

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Identifiers

arXiv ID

2308.06014

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DOI

10.1016/j.na.2023.113468

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6141060