The asymptotically linear Hénon problem (Q5857865)

scientific article; zbMATH DE number 7331741

Language	Label	Description	Also known as
English	The asymptotically linear Hénon problem	scientific article; zbMATH DE number 7331741

Statements

instance of

scholarly article

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title

The asymptotically linear Hénon problem (English)

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author

Anna Lisa Amadori

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published in

Communications in Contemporary Mathematics

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publication date

8 April 2021

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full work available at URL

https://arxiv.org/abs/1906.00433

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zbMATH Keywords

Hénon problem

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Dirichlet boundary conditions

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least energy solutions

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radial solutions

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asymptotic profile

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Morse index

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MaRDI profile type

MaRDI publication profile

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cites work

Qualitative properties of nodal solutions of semilinear elliptic equations in radially symmetric domains

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Global bifurcation for the Hénon problem

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Bifurcation and symmetry breaking for the Henon equation

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Asymptotic profile and Morse index of nodal radial solutions to the Hénon problem

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On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE's

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The Hénon problem with large exponent in the disc

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A note on additional properties of sign changing solutions to superlinear elliptic equations

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Partial symmetry of least energy nodal solutions to some variational problems

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Infinitely many radial solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\)

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ASYMPTOTICS AND SYMMETRIES OF LEAST ENERGY NODAL SOLUTIONS OF LANE–EMDEN PROBLEMS WITH SLOW GROWTH

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Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations

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

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Real analyticity and non-degeneracy

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Some recent results on the zeros of Bessel functions and orthogonal polynomials

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Concentrating solutions for the Hénon equation in \(\mathbb R^{2}\)

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A priori bounds for positive solutions of nonlinear elliptic equations

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A monotonicity result under symmetry and Morse index constraints in the plane

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

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Quasi-radial solutions for the Lane-Emden problem in the ball

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On the shape of solutions of an asymptotically linear problem

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Infinitely many spike solutions for the Hénon equation with critical growth

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Spectral asymptotics of radial solutions and nonradial bifurcation for the Hénon equation

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Uniqueness of least energy solutions to a semilinear elliptic equation in \(\mathbb{R}^ 2\)

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Symmetry breaking via Morse index for equations and systems of Hénon-Schrödinger type

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Q3661978

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Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0

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Multi-peak solutions for the Hénon equation with slightly subcritical growth

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Non radial positive solution for the Hénon equation with critical growth

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NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION

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Multi-peak nodal solutions for a two-dimensional elliptic problem with large exponent in weighted nonlinearity

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Identifiers

zbMATH Open document ID

1464.35135

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DOI

10.1142/S021919972050042X

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5857865