Publicación:
Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case
Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case
| dc.contributor.author | Ma Y. | es_PE |
| dc.contributor.author | Wang Y. | es_PE |
| dc.contributor.author | Ledesma C.T. | es_PE |
| dc.date.accessioned | 2024-05-30T23:13:38Z | |
| dc.date.available | 2024-05-30T23:13:38Z | |
| dc.date.issued | 2021 | |
| dc.description | Y. Ma is supported by Key R&D plan of Jiangxi Province, No:20181ACE50029, Y. Wang is supported by NNSF of China, No:12001252 and 12071189, by the Jiangxi Provincial Natural Science Foundation, No:20202ACBL201001 and 20202BAB201005, by the Science and Technology Research Project of Jiangxi Provincial Department of Education, No: 200325 and 200307, C. Torres was partially supported by CONCYTEC, Peru, 379-2019-FONDECYT “ASPECTOS CUALITATIVOS DE ECUACIONES NO-LOCALES Y APLICACIONES” | |
| dc.description.abstract | Our purpose of this paper is to study positive solutions of Lane-Emden equation -?u=Vup in RN0 perturbed by a non-homogeneous potential V when p ? [pc,N+2N-2), where pc is the Joseph-Ludgren exponent. When p ? (NN-2,pc) the fast decaying solution could be approached by super and sub solutions, which are constructed by the stability of the k-fast decaying solution wk of -?u = up in RN \ 0 by authors in [9]. While the fast decaying solution wk is unstable for p ? (pc,N+2N-2) so these fast decaying solutions seem not able to disturbed like (0.1) by non-homogeneous potential V. A surprising observation that there exists a bounded sub solution of (0.1) from the extremal solution of -?u=uN+2N-2 in RN and then a sequence of fast decaying solutions and slow decaying solutions could be derived under appropriated restrictions for V. © 2021 Yong Ma et al., published by De Gruyter 2021. | |
| dc.description.sponsorship | Consejo Nacional de Ciencia, Tecnología e Innovación Tecnológica - Concytec | |
| dc.identifier.doi | https://doi.org/10.1515/anona-2020-0129 | |
| dc.identifier.scopus | 2-s2.0-85109144939 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12390/3019 | |
| dc.language.iso | eng | |
| dc.publisher | De Gruyter Open Ltd | |
| dc.relation.ispartof | Advances in Nonlinear Analysis | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | Singularity | |
| dc.subject | Decaying Solution | es_PE |
| dc.subject | Lane-Emden Equation | es_PE |
| dc.subject | Potential | es_PE |
| dc.subject.ocde | https://purl.org/pe-repo/ocde/ford#1.01.01 | |
| dc.title | Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case | |
| dc.type | info:eu-repo/semantics/article | |
| dspace.entity.type | Publication |