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Dynamics of nonlinear hyperbolic equations of Kirchhoff type - MaRDI portal

Dynamics of nonlinear hyperbolic equations of Kirchhoff type (Q2135739)

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Language	Label	Description	Also known as
English	Dynamics of nonlinear hyperbolic equations of Kirchhoff type	scientific article

Statements

scholarly article

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Dynamics of nonlinear hyperbolic equations of Kirchhoff type (English)

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Calculus of Variations and Partial Differential Equations

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publication date

9 May 2022

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full work available at URL

https://arxiv.org/abs/2101.06012

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zbMATH Keywords

boundedness

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vacuum region

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MaRDI profile type

MaRDI publication profile

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Positive solutions for a quasilinear elliptic equation of Kirchhoff type

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On the Well-Posedness of the Kirchhoff String

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Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz

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The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.

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Uniform estimates for solutions of nonlinear Klein-Gordon equations

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Existence of multiple periodic solutions to asymptotically linear wave equations in a ball

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The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions

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Well-posedness for a class of Kirchhoff equations with damping and memory terms

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Infinitely many periodic solutions for a semilinear wave equation in a ball in \(\mathbb R^n\)

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Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance

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Global solvability for the degenerate Kirchhoff equation with real analytic data

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Nonlinear perturbations of the kirchhoff equation

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Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in \(\mathbb{R}^3\)

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Periodic solutions of symmetric wave equations

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Existence and concentration result for the Kirchhoff type equations with general nonlinearities

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Global solutions and finite time blow up for damped semilinear wave equations

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Some remarks on global solutions to nonlinear dissipative mildly degenerate Kirchhoff strings

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Derivative loss for Kirchhoff equations with non-Lipschitz nonlinear term

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A uniqueness result for Kirchhoff equations with non-Lipschitz nonlinear term

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Kirchhoff equations from quasi-analytic to spectral-gap data

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Global solvability for Kirchhoff equation in special classes of non-analytic functions

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On finding solutions of a Kirchhoff type problem

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On solutions to some quasilinear hyperbolic equations with nonlinear inhomogeneous terms

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A class of second order quasilinear evolution equations

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Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior

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On potential wells and vacuum isolating of solutions for semilinear wave equations

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Wave breaking analysis for the periodic rotation-two-component Camassa-Holm system

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On potential wells and applications to semilinear hyperbolic equations and parabolic equations

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On the global solvability of Kirchhoff equation for non-analytic initial data

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Global well-posedness of Kirchhoff systems

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Almost global well-posedness of Kirchhoff equation with Gevrey data

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On the Gevrey well-posedness of the Kirchhoff equation

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Existence and boundary stabilization of solutions for the kirchhoff equation

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On the Brezis-Nirenberg Problem with a Kirchhoff Type Perturbation

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On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation

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Degenerate Kirchhoff-type wave problems involving the fractional Laplacian with nonlinear damping and source terms

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Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian

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Nontrivial solutions of Kirchhoff-type problems via the Yang index

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Asymptotic stability for nonlinear damped Kirchhoff systems involving the fractional \(p\)-Laplacian operator

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Periodic solutions of hamiltonian systems

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On global solution of nonlinear hyperbolic equations

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Rotationally invariant periodic solutions of semilinear wave equations

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Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials

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Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity

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Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials

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Minimax theorems

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On global existence and blow-up of solutions for an integro-differential equation with strong damping

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Absolute stability of the Kirchhoff string with sector boundary control

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Variational, topological, and partial order methods with their applications

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Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow

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Identifiers

zbMATH Open document ID

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10.1007/s00526-022-02225-4

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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:2135739

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