Elliptic equations with critical exponent on a torus invariant region of 3

We study the multiplicity of positive solutions of a Brezis-Nirenberg-type problem on a region of the three-dimensional sphere, which is invariant by the natural torus action. In the paper by Brezis and Peletier, the case in which the region is invariant by the SO(3)-action is considered, namely, wh...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Rey, C.A.
Formato: JOUR
Materias:
Brezis-Nirenberg problem
Nonlinear elliptic equations
Yamabe equation
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02191997_v21_n2_p_Rey
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_02191997_v21_n2_p_Rey
record_format dspace
spelling todo:paper_02191997_v21_n2_p_Rey2023-10-03T15:11:05Z Elliptic equations with critical exponent on a torus invariant region of 3 Rey, C.A. Brezis-Nirenberg problem Nonlinear elliptic equations Yamabe equation We study the multiplicity of positive solutions of a Brezis-Nirenberg-type problem on a region of the three-dimensional sphere, which is invariant by the natural torus action. In the paper by Brezis and Peletier, the case in which the region is invariant by the SO(3)-action is considered, namely, when the region is a spherical cap. We prove that the number of positive solutions increases as the parameter of the equation tends to -∞, giving an answer to a particular case of an open problem proposed in the above referred paper. © 2019 World Scientific Publishing Company. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02191997_v21_n2_p_Rey
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Brezis-Nirenberg problem
Nonlinear elliptic equations
Yamabe equation
spellingShingle Brezis-Nirenberg problem
Nonlinear elliptic equations
Yamabe equation
Rey, C.A.
Elliptic equations with critical exponent on a torus invariant region of 3
topic_facet Brezis-Nirenberg problem
Nonlinear elliptic equations
Yamabe equation
description We study the multiplicity of positive solutions of a Brezis-Nirenberg-type problem on a region of the three-dimensional sphere, which is invariant by the natural torus action. In the paper by Brezis and Peletier, the case in which the region is invariant by the SO(3)-action is considered, namely, when the region is a spherical cap. We prove that the number of positive solutions increases as the parameter of the equation tends to -∞, giving an answer to a particular case of an open problem proposed in the above referred paper. © 2019 World Scientific Publishing Company.
format JOUR
author Rey, C.A.
author_facet Rey, C.A.
author_sort Rey, C.A.
title Elliptic equations with critical exponent on a torus invariant region of 3
title_short Elliptic equations with critical exponent on a torus invariant region of 3
title_full Elliptic equations with critical exponent on a torus invariant region of 3
title_fullStr Elliptic equations with critical exponent on a torus invariant region of 3
title_full_unstemmed Elliptic equations with critical exponent on a torus invariant region of 3
title_sort elliptic equations with critical exponent on a torus invariant region of 3
url http://hdl.handle.net/20.500.12110/paper_02191997_v21_n2_p_Rey
work_keys_str_mv AT reyca ellipticequationswithcriticalexponentonatorusinvariantregionof3
_version_ 1807318818917187584

Ejemplares similares