Existence and multiplicity of normalized solutions to biharmonic Schrödinger equations with subcritical growth (Q6185730)

scientific article; zbMATH DE number 7796992

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English	Existence and multiplicity of normalized solutions to biharmonic Schrödinger equations with subcritical growth	scientific article; zbMATH DE number 7796992

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instance of

scholarly article

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title

Existence and multiplicity of normalized solutions to biharmonic Schrödinger equations with subcritical growth (English)

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Bulletin of the Iranian Mathematical Society

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publication date

30 January 2024

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zbMATH Keywords

nonlinear biharmonic Schrödinger equation

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existence and multiplicity of normalized ground states

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s41980-023-00823-2

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cites work

On existence of multiple normalized solutions to a class of elliptic problems in whole \(\mathbb{R}^N\)

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Multiple normalized solutions for a competing system of Schrödinger equations

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Stable standing waves for a class of nonlinear Schrödinger-Poisson equations

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On the orbital stability for a class of nonautonomous NLS

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Orbitally Stable Standing Waves of a Mixed Dispersion Nonlinear Schrödinger Equation

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Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime

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Non-homogeneous Gagliardo-Nirenberg inequalities in \(\mathbb{R}^N\) and application to a biharmonic non-linear Schrödinger equation

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Self-Focusing with Fourth-Order Dispersion

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Existence of solutions with prescribed norm for semilinear elliptic equations

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Orbital stability of ground states for a Sobolev critical Schrödinger equation

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Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion

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Existence and stability of normalized solutions to the mixed dispersion nonlinear Schrödinger equations

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The existence and stability of normalized solutions for a bi-harmonic nonlinear Schrödinger equation with mixed dispersion

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Normalized solutions for a fourth-order Schrödinger equation with a positive second-order dispersion coefficient

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Normalized ground states of nonlinear biharmonic Schrödinger equations with Sobolev critical growth and combined nonlinearities

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Critical point theory and Hamiltonian systems

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Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case

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The cubic fourth-order Schrödinger equation

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Blowup for biharmonic Schrödinger equation with critical nonlinearity

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

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

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Minimax theorems

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Energy critical fourth-order Schrödinger equations with subcritical perturbations

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Limiting profile of the blow-up solutions for the fourth-order nonlinear Schrödinger equation

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Identifiers

Mathematics Subject Classification ID

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10.1007/S41980-023-00823-2

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Sitelinks

Mathematics(1 entry)

mardi Publication:6185730