Energy estimated frequencies of standing-wave solutions to nonlinear Klein-Gordon systems in higher dimensions

Daniele Garrisi

doi:10.1016/j.jmaa.2024.128488

Energy estimated frequencies of standing-wave solutions to nonlinear Klein-Gordon systems in higher dimensions

Daniele Garrisi

School of Mathematical Sciences

Research output: Journal Publication › Article › peer-review

Abstract

A system of nonlinear elliptic equations is considered, where the nonlinear term is the sum of a quadratic form and a Sobolev sub-critical term. An extra assumption is introduced on the nonlinear term, which is minimal among the ones which guarantee the existence of standing-waves obtained by estimating frequencies of minimizing sequences with the energy functional.

Original language	English
Article number	128488
Pages (from-to)	1-14
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	539
Issue number	1
Early online date	7 May 2024
DOIs	https://doi.org/10.1016/j.jmaa.2024.128488
Publication status	Published - 1 Nov 2024

Keywords

Elliptic systems
Klein-Gordon
Standing-waves

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title = "Energy estimated frequencies of standing-wave solutions to nonlinear Klein-Gordon systems in higher dimensions",

abstract = "A system of nonlinear elliptic equations is considered, where the nonlinear term is the sum of a quadratic form and a Sobolev sub-critical term. An extra assumption is introduced on the nonlinear term, which is minimal among the ones which guarantee the existence of standing-waves obtained by estimating frequencies of minimizing sequences with the energy functional.",

keywords = "Elliptic systems, Klein-Gordon, Standing-waves",

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AB - A system of nonlinear elliptic equations is considered, where the nonlinear term is the sum of a quadratic form and a Sobolev sub-critical term. An extra assumption is introduced on the nonlinear term, which is minimal among the ones which guarantee the existence of standing-waves obtained by estimating frequencies of minimizing sequences with the energy functional.

KW - Elliptic systems

KW - Klein-Gordon

KW - Standing-waves

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DO - 10.1016/j.jmaa.2024.128488

M3 - Article

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M1 - 128488

ER -

Energy estimated frequencies of standing-wave solutions to nonlinear Klein-Gordon systems in higher dimensions

Abstract

Keywords

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