This paper deals with an elliptic problem with a nonlinear lower order term set in an open bounded cylinder of ℝN, N ≥ 2, divided into two connected components by an imperfect rough interface. More precisely, we assume that at the interface the flux is continuous and proportional, via a nonlinear rule, to the jump of the solution. According to the amplitude of the interface oscillations and the proportionality coefficient, we derive different homogenized problems
Homogenization of a nonlinear elliptic problem with imperfect rough interface
Perugia C.
;
2025-01-01
Abstract
This paper deals with an elliptic problem with a nonlinear lower order term set in an open bounded cylinder of ℝN, N ≥ 2, divided into two connected components by an imperfect rough interface. More precisely, we assume that at the interface the flux is continuous and proportional, via a nonlinear rule, to the jump of the solution. According to the amplitude of the interface oscillations and the proportionality coefficient, we derive different homogenized problemsFile in questo prodotto:
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