Universidade Estadual de Campinas, IMECC
Departamento de Matematica
Rua Sergio Buarque de Holanda, 651
Campinas, SP, Brazil, CEP 13083-970
email: jleontordecilla@gmail.com
Jesus Alberto Leon Tordecilla
Abstract:
We use an approximation scheme together with a variation of the fixed point theorem to show
the existence of a positive solution to a nonlocal boundary value problem.
This problem has a smooth bounded domain in RN, a singular term, and
combined nonlinearities. We also study the symmetric, monotonicity, and asymptotic behavior
of the solutions with respect to a parameter involved in the problem.
Submitted October 9, 2021. Published June 27, 2022.
Math Subject Classifications: 35J75, 35B40, 35J60, 35B25, 58K55.
Key Words: Nonlocal problem; singular equation; Galerkin method;
positive solution; asymptotic behavior.
DOI: https://doi.org/10.58997/ejde.2022.40
Show me the PDF file (353 KB), TEX file for this article.
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Jesus Alberto Leon Tordecilla Universidade Estadual de Campinas, IMECC Departamento de Matematica Rua Sergio Buarque de Holanda, 651 Campinas, SP, Brazil, CEP 13083-970 email: jleontordecilla@gmail.com |
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