Artículos de revistas
On the energy functionals derived from a non-homogeneous p-Laplacian equation: Γ-convergence, local minimizers and stable transition layers
Fecha
2020-03-15Registro en:
Journal of Mathematical Analysis and Applications, v. 483, n. 2, 2020.
1096-0813
0022-247X
10.1016/j.jmaa.2019.123634
2-s2.0-85074538754
Autor
Universidade Estadual Paulista (Unesp)
Universidade Federal de Itajubá - IMC
Institución
Resumen
In this paper we consider a family of singularly perturbed non-homogeneous p-Laplacian problems ϵpdiv(k(x)|∇u|p−2∇u)+k(x)g(u)=0 in Ω⊂Rn subject to Neumann boundary conditions. We establish the Γ-convergence of the energy functionals associate to this family of problems. As an application, we obtain the existence and profile asymptotic of a family of local minimizers in the one-dimensional case (i.e. Ω=(0,1)). In particular, these minimizers are stable solutions which develop inner transition layer in (0,1).