Non-degeneracy of positive solutions of Kirchhoff equations and its application (Q1630594)

scientific article; zbMATH DE number 6991300

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English	Non-degeneracy of positive solutions of Kirchhoff equations and its application	scientific article; zbMATH DE number 6991300

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instance of

scholarly article

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title

Non-degeneracy of positive solutions of Kirchhoff equations and its application (English)

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Journal of Mathematical Analysis and Applications

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publication date

10 December 2018

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zbMATH Keywords

Kirchhoff equations

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positive solutions

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non-degeneracy theorem

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.jmaa.2018.10.014

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cites work

Positive solutions for a quasilinear elliptic equation of Kirchhoff type

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Semiclassical states of nonlinear Schrödinger equations

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Multiplicity results for some nonlinear Schrödinger equations with potentials

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On the Well-Posedness of the Kirchhoff String

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Ground states of \(-\Delta u=f(u)\) and the Emden-Fowler equation

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A note on the elliptic Kirchhoff equation in ℝ<sup>N</sup>perturbed by a local nonlinearity

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Nonlinear scalar field equations. I: Existence of a ground state

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Q5780514

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Existence and uniqueness results on single-peaked solutions of a semilinear problem

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Solutions with multiple peaks for nonlinear elliptic equations

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Multiscale-bump standing waves with a critical frequency for nonlinear Schrödinger equations

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Spectra of Linearized Operators for NLS Solitary Waves

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Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions

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Uniqueness of positive solutions of \(\Delta u+f(u)=0\) in \(\mathbb{R}^N\), \(N\geqq 3\)

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A priori bounds for positive solutions of Kirchhoff type equations

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Global solvability for the degenerate Kirchhoff equation with real analytic data

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Concentrating standing waves for the fractional nonlinear Schrödinger equation

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Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential

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

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Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)

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Uniqueness of radial solutions for the fractional Laplacian

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Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)

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Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents

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Local well-posedness and blow-up in the energy space for a class of \(L^2\) critical dispersion generalized Benjamin-Ono equations

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Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)

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Uniqueness of ground states for pseudorelativistic Hartree equations

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Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)

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Instability of nonlinear dispersive solitary waves

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Q4189540

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On Positive Multipeak Solutions of a Nonlinear Elliptic Problem

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Uniqueness and nondegeneracy of positive solutions of \((-\Delta )^su+u= u^p\) in \(\mathbb R^N\) when s is close to 1

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Positive solutions for Kirchhoff-type equations with critical exponent in \(\mathbb{R}^N\)

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Multi-peak positive solutions to a class of Kirchhoff equations

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Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)

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Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)<sub>a</sub>

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Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials

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On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential

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Local mountain passes for semilinear elliptic problems in unbounded domains

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Semi-classical states for nonlinear Schrödinger equations

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Uniqueness of positive solutions of semilinear equations in \(R^ n\).

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Uniqueness and stability of ground states for some nonlinear Schrödinger equations

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Existence of solitary waves in higher dimensions

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Modulational Stability of Ground States of Nonlinear Schrödinger Equations

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Lyapunov stability of ground states of nonlinear dispersive evolution equations

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Identifiers

zbMATH Open document ID

1406.35121

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Mathematics Subject Classification ID

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10.1016/J.JMAA.2018.10.014

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Sitelinks

Mathematics(1 entry)

mardi Publication:1630594