On stable and finite Morse index solutions of the nonlocal Hénon-Gelfand-Liouville equation (Q2225892)

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English	On stable and finite Morse index solutions of the nonlocal Hénon-Gelfand-Liouville equation	scientific article

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instance of

scholarly article

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title

On stable and finite Morse index solutions of the nonlocal Hénon-Gelfand-Liouville equation (English)

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Calculus of Variations and Partial Differential Equations

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publication date

11 February 2021

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full work available at URL

https://arxiv.org/abs/2008.07374

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zbMATH Keywords

Hénon-Gelfand-Liouville equation

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fractional Laplacian

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stable and finite Morse index solutions

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monotonicity formula

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MaRDI profile type

MaRDI publication profile

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cites work

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Finite Morse index solutions of an elliptic equation with supercritical exponent

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On the classification of solutions of -Δ𝑢=𝑒^{𝑢} on ℝ^{ℕ}: Stability outside a compact set and applications

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On the fractional Lane-Emden equation

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A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem

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Monotonicity formula and \(\varepsilon\)-regularity of stable solutions to supercritical problems and applications to finite Morse index solutions

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The Gel'fand problem for the biharmonic operator

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Semilinear elliptic equations for the fractional Laplacian with Hardy potential

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Monotonicity formulas for coupled elliptic gradient systems with applications

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On stable solutions of the fractional Hénon–Lane–Emden equation

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On stable and finite Morse index solutions of the fractional Toda system

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Global and local behavior of positive solutions of nonlinear elliptic equations

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Sobolev met Poincaré

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Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)

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Stable weak solutions of weighted nonlinear elliptic equations

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Structure of conformal metrics on \(\mathbb{R}^n\) with constant \(Q\)-curvature.

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Classification of Stable Solutions to a Non-Local Gelfand–Liouville Equation

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Quasilinear Dirichlet problems driven by positive sources

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Degenerate Poincaré–Sobolev inequalities

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Liouville-type theorems and bounds of solutions of Hardy-Hénon equations

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The extremal solution for the fractional Laplacian

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Some Liouville theorems for Hénon type elliptic equations

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Partial regularity of stable solutions to the supercritical equations and its applications

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Partial regularity of stable solutions to the Emden equation

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Stable and finite Morse index solutions of Toda system

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Sharp constants in the Hardy-Rellich inequalities

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Identifiers

zbMATH Open document ID

1458.35450

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Mathematics Subject Classification ID

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10.1007/S00526-020-01874-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:2225892