Normalized solutions for Kirchhoff type equations with combined nonlinearities: the Sobolev critical case (Q6107786)

scientific article; zbMATH DE number 7706443

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English	Normalized solutions for Kirchhoff type equations with combined nonlinearities: the Sobolev critical case	scientific article; zbMATH DE number 7706443

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instance of

scholarly article

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title

Normalized solutions for Kirchhoff type equations with combined nonlinearities: the Sobolev critical case (English)

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Discrete and Continuous Dynamical Systems

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publication date

3 July 2023

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zbMATH Keywords

Kirchhoff-type equations

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critical exponent

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existence and non-existence of normalized solutions

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mountain pass solution

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minimum solution

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3934/dcds.2023035

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cites work

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A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems

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Multiple normalized solutions for a competing system of Schrödinger equations

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Orbital stability of standing waves for some nonlinear Schrödinger equations

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Elliptic partial differential equations of second order

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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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Nonlinear scalar field equations with \(L^2\) constraint: mountain pass and symmetric mountain pass approaches

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Existence of solutions with prescribed norm for semilinear elliptic equations

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Multiple normalized solutions for a Sobolev critical Schrödinger equation

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

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A singularly perturbed Kirchhoff problem revisited

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Normalized solutions to a class of Kirchhoff equations with Sobolev critical exponent

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

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On the concentration phenomenon of \(L^{2}\)-subcritical constrained minimizers for a class of Kirchhoff equations with potentials

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Q4189540

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Normalized solutions to the fractional Schrödinger equations with combined nonlinearities

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Partial symmetry of normalized solutions for a doubly coupled Schrödinger system

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Positive solutions of Kirchhoff type elliptic equations involving a critical Sobolev exponent

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The critical problem of Kirchhoff type elliptic equations in dimension four

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Q5533735

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Stable standing waves of nonlinear Schrödinger equations with a general nonlinear term

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Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains

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Normalized ground states for the NLS equation with combined nonlinearities

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Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case

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Bifurcation in Lp (RN ) for a Semilinear Elliptic Equation

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Bifurcation from the essential spectrum for some non-compact non-linearities

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Ground state sign-changing solutions for Kirchhoff type problems in bounded domains

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On harnack type inequalities and their application to quasilinear elliptic equations

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Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth

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Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities

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Nonlinear Schrödinger equations and sharp interpolation estimates

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Minimax theorems

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Bound state solutions of Kirchhoff type problems with critical exponent

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Existence and multiplicity of normalized solutions for the nonlinear Kirchhoff type problems

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The sharp existence of constrained minimizers for a class of nonlinear Kirchhoff equations

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The existence of normalized solutions for \(L^2\)-critical constrained problems related to Kirchhoff equations

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Existence and asymptotic behavior of positive solutions for Kirchhoff type problems with steep potential well

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Normalized ground states for Kirchhoff equations in R3 with a critical nonlinearity

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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

1519.35148

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DOI

10.3934/dcds.2023035

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6107786