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On weak solutions to a fractional Hardy-Hénon equation. II: Existence - MaRDI portal

On weak solutions to a fractional Hardy-Hénon equation. II: Existence (Q2105526)

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English	On weak solutions to a fractional Hardy-Hénon equation. II: Existence	scientific article

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scholarly article

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On weak solutions to a fractional Hardy-Hénon equation. II: Existence (English)

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Shoichi Hasegawa

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Tatsuki Kawakami

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

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publication date

8 December 2022

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full work available at URL

https://arxiv.org/abs/2102.05873

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zbMATH Keywords

fractional Hardy-Hénon equation

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stable solutions

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separation property

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MaRDI profile type

MaRDI publication profile

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Stability and qualitative properties of radial solutions of the Lane-Emden-Fowler equation on Riemannian models

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Poincaré-Sobolev equations in the hyperbolic space

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Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space

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Functional analysis, Sobolev spaces and partial differential equations

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Blow up for \(u_ t- \Delta u=g(u)\) revisited

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An Extension Problem Related to the Fractional Laplacian

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On Some Pointwise Inequalities Involving Nonlocal Operators

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Existence of positive solutions of a semilinear elliptic equation in \(\mathbb{R}_+^n\) with a nonlinear boundary condition

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A pointwise estimate for fractionary derivatives with applications to partial differential equations

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A maximum principle applied to quasi-geostrophic equations

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A pointwise inequality for fractional Laplacians

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Finite Morse index solutions of an elliptic equation with supercritical exponent

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The extremal solution of a boundary reaction problem

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

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On the fractional Lane-Emden equation

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Hitchhiker's guide to the fractional Sobolev spaces

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Singular solutions of semilinear elliptic equations with fractional Laplacian in entire space

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Stable solutions of \(-\Delta u = f(u)\) in \(\mathbb R^N\)

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Semilinear elliptic equations for the fractional Laplacian with Hardy potential

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Unique Continuation Property and Local Asymptotics of Solutions to Fractional Elliptic Equations

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On the classification of solutions of the Lane-Emden equation on unbounded domains of \(\mathbb R^N\)

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

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Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators

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Radial entire solutions for supercritical biharmonic equations

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On the stability and instability of positive steady states of a semilinear heat equation in ℝn

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Further study on a nonlinear heat equation

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Qualitative properties of entire radial solutions for a biharmonic equation with supercritical nonlinearity

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On stable solutions of the biharmonic problem with polynomial growth

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Positive solutions to the Laplace equation with nonlinear boundary conditions on the half space

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A critical exponent for Hénon type equation on the hyperbolic space

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A critical exponent of Joseph-lundgren type for an Hénon equation on the hyperbolic space

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On weak solutions to a fractional Hardy-Hénon equation. I: Nonexistence

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

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On the strong maximum principle for nonlocal operators

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On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions

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Stability and intersection properties of solutions to the nonlinear biharmonic equation

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Separation property of solutions for a semilinear elliptic equation

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On a semilinear elliptic equation in Hn

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Strong maximum principles for fractional Laplacians

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On bounded and unbounded global solutions of a supercritical semilinear heat equation

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A Liouville property and quasiconvergence for a semilinear heat equation

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Very weak solutions to elliptic equations with nonlinear Neumann boundary conditions

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Superlinear Parabolic Problems

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On the Cauchy Problem for Reaction-Diffusion Equations

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Some Liouville theorems for Hénon type elliptic equations

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Liouville theorems for stable solutions of biharmonic problem

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Sharp constants in the Hardy-Rellich inequalities

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Identifiers

zbMATH Open document ID

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10.1016/j.na.2022.113165

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2105526

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