Analysis of weighted p-harmonic forms and applications (Q5243548)

scientific article; zbMATH DE number 7132138

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English	Analysis of weighted p-harmonic forms and applications	scientific article; zbMATH DE number 7132138

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instance of

scholarly article

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title

Analysis of weighted p-harmonic forms and applications (English)

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zbMATH Open document ID

1429.53059

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DOI

10.1142/S0129167X19500587

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International Journal of Mathematics

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publication date

19 November 2019

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Mathematics Subject Classification ID

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smooth metric measure spaces

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Sobolev inequality

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$p$-harmonic forms

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weighted Poincaré inequality

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Weitzenböck curvature operator

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MaRDI profile type

MaRDI publication profile

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cites work

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$L^2$-cohomology and Sobolev inequalities

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Liouville type theorems for the $p$-harmonic functions on certain manifolds

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Eigenvalue comparison theorems and its geometric applications

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Harmonic maps with finite total energy

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$p$-harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold

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On removable singularities of p-harmonic maps

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The differential form spectrum of manifolds of positive curvature

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Q4847438

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Regularity of differential forms minimizing degenerate elliptic functionals.

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Sobolev and isoperimetric inequalities for riemannian submanifolds

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Volume growth, Green's functions, and parabolicity of ends

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A sharp $L^q$-Liouville theorem for $p$-harmonic functions

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Global comparison principles for the $p$-Laplace operator on Riemannian manifolds

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Spectrum of the Laplacian on quaternionic Kähler manifolds

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Results on a weighted Poincaré inequality of complete manifolds

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On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold

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Harmonic sections of polynomial growth

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$L^ p$ and mean value properties of subharmonic functions on Riemannian manifolds

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Complete manifolds with positive spectrum

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Complete manifolds with positive spectrum. II.

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Connectedness at infinity of complete Kähler manifolds

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On the structure of submanifolds in Euclidean space with flat normal bundle

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Q4040126

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First eigenvalue for the $p$-Laplace operator

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Sobolev and mean‐value inequalities on generalized submanifolds of R<sup>n</sup>

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On weighted 𝐿² cohomology

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Weighted Sobolev inequalities and Ricci flat manifolds

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Smooth metric measure spaces with non-negative curvature

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A Liouville type theorem for $p$-harmonic maps

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Constancy of $p$-harmonic maps of finite $q$-energy into non-positively curved manifolds

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Topology of steady and expanding gradient Ricci solitons via f-harmonic maps

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Uniformly elliptic operators on Riemannian manifolds

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Sharp gradient estimate and spectral rigidity for $p$-Laplacian

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Regularity for a more general class of quasilinear equations

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HARMONIC MAPS FROM SMOOTH METRIC MEASURE SPACES

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Heat kernel on smooth metric measure spaces with nonnegative curvature

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A Note on <i>p</i>-Harmonic 1-Forms on Complete Manifolds

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full work available at URL

https://doi.org/10.1142/s0129167x19500587

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OpenAlex ID

W2970400569

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Sitelinks

Mathematics(1 entry)

mardi Publication:5243548