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

Monsurro, Sara;Perugia, Carmen
;
Raimondi, Federica
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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 problems.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4905735
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