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Colección SciELO Chile

Some results for semi-stable radial solutions of k-Hessian equations with weight on R-n

Indexado

WoS	WOS:000884108900001
Scopus	SCOPUS_ID:85162271741

DOI

10.1017/PRM.2022.73

Año

2022

Tipo

artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

Abstract

We devote this paper to study semi-stable nonconstant radial solutions of S-k(D(2)u) = w(vertical bar x vertical bar)g(u) on the Euclidean space R-n. We establish pointwise estimates and necessary conditions for the existence of such solutions (not necessarily bounded) for this equation. For bounded solutions we estimate their asymptotic behaviour at infinity. All the estimates are given in terms of the spatial dimension n, the values of k and the behaviour at infinity of the growth rate function of w.

Revista

Revista	ISSN
Proceedings Of The Royal Society Of Edinburgh Section A Mathematics	0308-2105

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Disciplinas de Investigación

WOS
Mathematics
Mathematics, Applied

Scopus
Sin Disciplinas

SciELO
Sin Disciplinas

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Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional

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Autores - Afiliación

Ord.	Autor	Género	Institución - País
1	Navarro, Miguel Angel	Hombre	Univ A Coruna - España Universidade da Coruña - España
2	SANCHEZ-CUBILLOS, JUSTINO GILBERTO	Hombre	Universidad de la Serena - Chile

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Financiamiento

Fuente
Xunta de Galicia
Federación Española de Enfermedades Raras
Agencia Estatal de Investigación
European Community Fund FEDER
ANID Fondecyt
AEI of Spain
XUNTA de Galicia under Grant Axudas a etapa de formacion posdoutoral

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Agradecimientos

Agradecimiento
The authors express their gratitude to the referee who read the paper very carefully and made some suggestions for improving the presentation. M. Navarro was supported by XUNTA de Galicia under Grant Axudas a etapa de formacion posdoutoral 2017 and partially supported by AEI of Spain under Grant MTM201675140-P and co-financed by European Community fund FEDER and XUNTA de Galicia under grants GRC2015/004, R2016/022 and ED431C2019/02. J. Sanchez was partially supported by ANID Fondecyt Grant No. 1221928.
The authors express their gratitude to the referee who read the paper very carefully and made some suggestions for improving the presentation. M. Navarro was supported by XUNTA de Galicia under Grant Axudas á etapa de formación posdoutoral 2017 and partially supported by AEI of Spain under Grant MTM2016-75140-P and co-financed by European Community fund FEDER and XUNTA de Galicia under grants GRC2015/004, R2016/022 and ED431C2019/02. J. Sánchez was partially supported by ANID Fondecyt Grant No. 1221928.

Agradecimiento

The authors express their gratitude to the referee who read the paper very carefully and made some suggestions for improving the presentation. M. Navarro was supported by XUNTA de Galicia under Grant Axudas a etapa de formacion posdoutoral 2017 and partially supported by AEI of Spain under Grant MTM201675140-P and co-financed by European Community fund FEDER and XUNTA de Galicia under grants GRC2015/004, R2016/022 and ED431C2019/02. J. Sanchez was partially supported by ANID Fondecyt Grant No. 1221928.

The authors express their gratitude to the referee who read the paper very carefully and made some suggestions for improving the presentation. M. Navarro was supported by XUNTA de Galicia under Grant Axudas á etapa de formación posdoutoral 2017 and partially supported by AEI of Spain under Grant MTM2016-75140-P and co-financed by European Community fund FEDER and XUNTA de Galicia under grants GRC2015/004, R2016/022 and ED431C2019/02. J. Sánchez was partially supported by ANID Fondecyt Grant No. 1221928.