Some existence results for a local-nonlocal systems with combined critical Sobolev terms

Del Pezzo, Leandro M. - Quiroz, George A. - Torres Ledesma, César E.

Resumen:

In this paper, we study the existence and multiplicity of nontrivial solutions to a local-nonlocal system involving combined critical nonlinearities. Our results are obtained by decomposing the Nehari manifold and applying the mountain pass theorem of Ambrosetti and Rabinowitz.

Detalles Bibliográficos
2026
Agencia Nacional de Investigación e Innovación
Local-nonlocal system
Multiplicity of nontrivial solutions
Ciencias Naturales y Exactas
Matemáticas
Inglés
Agencia Nacional de Investigación e Innovación
REDI
https://hdl.handle.net/20.500.12381/5577
Acceso abierto
Reconocimiento-SinObraDerivada 4.0 Internacional. (CC BY-ND)
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author Del Pezzo, Leandro M.
author2 Quiroz, George A.
Torres Ledesma, César E.
author2_role author
author
author_facet Del Pezzo, Leandro M.
Quiroz, George A.
Torres Ledesma, César E.
author_role author
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bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
bitstream.url.fl_str_mv https://redi.anii.org.uy/jspui/bitstream/20.500.12381/5577/2/license.txt
https://redi.anii.org.uy/jspui/bitstream/20.500.12381/5577/1/DelPezzoAlamaTorres%5bV9%5d.pdf
collection REDI
dc.creator.none.fl_str_mv Del Pezzo, Leandro M.
Quiroz, George A.
Torres Ledesma, César E.
dc.date.accessioned.none.fl_str_mv 2026-06-09T16:42:13Z
dc.date.available.none.fl_str_mv 2026-06-09T16:42:13Z
dc.date.issued.none.fl_str_mv 2026
dc.description.abstract.none.fl_txt_mv In this paper, we study the existence and multiplicity of nontrivial solutions to a local-nonlocal system involving combined critical nonlinearities. Our results are obtained by decomposing the Nehari manifold and applying the mountain pass theorem of Ambrosetti and Rabinowitz.
dc.description.sponsorship.none.fl_txt_mv Agencia Nacional de Investigación e Innovación
dc.identifier.anii.es.fl_str_mv FCE_3_2024_1_181302
MOV_CO_2023_1_1012406
MOV_CO_2023_9_1013365
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12381/5577
dc.language.iso.none.fl_str_mv eng
dc.relation.none.fl_str_mv https://hdl.handle.net/20.500.12381/5567
https://hdl.handle.net/20.500.12381/5568
https://hdl.handle.net/20.500.12381/5575
https://hdl.handle.net/20.500.12381/5576
dc.rights.*.fl_str_mv Acceso abierto
dc.rights.license.none.fl_str_mv Reconocimiento-SinObraDerivada 4.0 Internacional. (CC BY-ND)
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.source.none.fl_str_mv reponame:REDI
instname:Agencia Nacional de Investigación e Innovación
instacron:Agencia Nacional de Investigación e Innovación
dc.subject.anii.none.fl_str_mv Ciencias Naturales y Exactas
Matemáticas
dc.subject.es.fl_str_mv Local-nonlocal system
Multiplicity of nontrivial solutions
dc.title.none.fl_str_mv Some existence results for a local-nonlocal systems with combined critical Sobolev terms
dc.type.es.fl_str_mv Preprint
dc.type.none.fl_str_mv info:eu-repo/semantics/preprint
description In this paper, we study the existence and multiplicity of nontrivial solutions to a local-nonlocal system involving combined critical nonlinearities. Our results are obtained by decomposing the Nehari manifold and applying the mountain pass theorem of Ambrosetti and Rabinowitz.
eu_rights_str_mv openAccess
format preprint
id REDI_e2859088df21316dc350adbe42ffff7c
identifier_str_mv FCE_3_2024_1_181302
MOV_CO_2023_1_1012406
MOV_CO_2023_9_1013365
instacron_str Agencia Nacional de Investigación e Innovación
institution Agencia Nacional de Investigación e Innovación
instname_str Agencia Nacional de Investigación e Innovación
language eng
network_acronym_str REDI
network_name_str REDI
oai_identifier_str oai:redi.anii.org.uy:20.500.12381/5577
publishDate 2026
reponame_str REDI
repository.mail.fl_str_mv jmaldini@anii.org.uy
repository.name.fl_str_mv REDI - Agencia Nacional de Investigación e Innovación
repository_id_str 9421
rights_invalid_str_mv Reconocimiento-SinObraDerivada 4.0 Internacional. (CC BY-ND)
Acceso abierto
spelling Reconocimiento-SinObraDerivada 4.0 Internacional. (CC BY-ND)Acceso abiertoinfo:eu-repo/semantics/openAccess2026-06-09T16:42:13Z2026-06-09T16:42:13Z2026https://hdl.handle.net/20.500.12381/5577FCE_3_2024_1_181302MOV_CO_2023_1_1012406MOV_CO_2023_9_1013365In this paper, we study the existence and multiplicity of nontrivial solutions to a local-nonlocal system involving combined critical nonlinearities. Our results are obtained by decomposing the Nehari manifold and applying the mountain pass theorem of Ambrosetti and Rabinowitz.Agencia Nacional de Investigación e Innovaciónenghttps://hdl.handle.net/20.500.12381/5567https://hdl.handle.net/20.500.12381/5568https://hdl.handle.net/20.500.12381/5575https://hdl.handle.net/20.500.12381/5576Local-nonlocal systemMultiplicity of nontrivial solutionsCiencias Naturales y ExactasMatemáticasSome existence results for a local-nonlocal systems with combined critical Sobolev termsPreprintinfo:eu-repo/semantics/preprintUniversidad de la República. Facultad de Ciencias Económicas y de Administración//Ciencias Naturales y Exactas/Matemáticas/Matemáticasreponame:REDIinstname:Agencia Nacional de Investigación e Innovacióninstacron:Agencia Nacional de Investigación e InnovaciónDel Pezzo, Leandro M.Quiroz, George A.Torres Ledesma, César E.LICENSElicense.txtlicense.txttext/plain; charset=utf-84967https://redi.anii.org.uy/jspui/bitstream/20.500.12381/5577/2/license.txta4ce09f01b5dd771727aa05c73851623MD52ORIGINALDelPezzoAlamaTorres[V9].pdfDelPezzoAlamaTorres[V9].pdfapplication/pdf412117https://redi.anii.org.uy/jspui/bitstream/20.500.12381/5577/1/DelPezzoAlamaTorres%5bV9%5d.pdf4bba67301f6f1f76af4a555367c280a7MD5120.500.12381/55772026-06-09 13:50:39.773oai:redi.anii.org.uy:20.500.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- Agencia Nacional de Investigación e Innovaciónfalse
spellingShingle Some existence results for a local-nonlocal systems with combined critical Sobolev terms
Del Pezzo, Leandro M.
Local-nonlocal system
Multiplicity of nontrivial solutions
Ciencias Naturales y Exactas
Matemáticas
title Some existence results for a local-nonlocal systems with combined critical Sobolev terms
title_full Some existence results for a local-nonlocal systems with combined critical Sobolev terms
title_fullStr Some existence results for a local-nonlocal systems with combined critical Sobolev terms
title_full_unstemmed Some existence results for a local-nonlocal systems with combined critical Sobolev terms
title_short Some existence results for a local-nonlocal systems with combined critical Sobolev terms
title_sort Some existence results for a local-nonlocal systems with combined critical Sobolev terms
topic Local-nonlocal system
Multiplicity of nontrivial solutions
Ciencias Naturales y Exactas
Matemáticas
url https://hdl.handle.net/20.500.12381/5577

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