Fractional problems in thin domains

In this paper we consider nonlocal fractional problems in thin domains. Given open bounded subsets U⊂R n and V⊂R m , we show that the solution u ε to Δ x s u ε (x,y)+Δ y t u ε (x,y)=f(x,ε −1 y)inU×εV with u ε (x,y)=0 if x⁄∈U and y∈εV, verifies that ũ ε (x,y)≔u ε (x,εy)→u 0 strongly in the natural fr...

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Autores principales: Pereira, M.C., Rossi, J.D., Saintier, N.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0362546X_v_n_p_Pereira
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