Alfredo Cano, Eric Hernandez-Martinez
Abstract:
Let be
a closed subgroup of
.
We consider the semilinear elliptic problem
where
is a smooth
bounded domain,
.
We establish the multiplicity of symmetric positive solutions,
nodal solutions, and solutions which are
invariant but are not
invariant, where
.
Submitted March 27, 2012. Published July 20, 2012.
Math Subject Classifications: 35J75, 35J57, 35J60.
Key Words: Critical exponent; singular problem; symmetric solutions.
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Alfredo Cano Universidad Autónoma del Estado de México Facultad de Ciencias, Departamento de Matemáticas Campus El Cerrillo Piedras Blancas, Carretera Toluca-Ixtlahuaca Km 15.5, Toluca, Estado de México, México email: calfredo420@gmail.com | |
Eric Hernández-Martínez Universidad Autónoma de la Ciudad de México, Colegio de Ciencia y Tecnología, Academia de Matemáticas, Calle Prolongación San Isidro No. 151 Col. San Lorenzo Tezonco, Del. Iztapalapa C.P. 09790, México D.F., México email: ebric2001@hotmail.com |
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