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texto impreso
The authors study the nonlinear elliptic equation (*) ?div(a(x,u,Du))?div(?(u))+g(x,u)=f(x)in ? with the boundary condition (??) u=0 on ??, where ? is a bounded open subset of RN, A(u)=?div(a(x,u,Du)) is a nonlinear operator of Leray-Lions type[...]texto impreso
Bénilan, Philippe ; Boccardo, L. ; Herrero, Miguel A. | Libreria Editrice Universitaria Levrotto & Bella | 1989Let f?L1(RN), N?1, f?0, and consider the Cauchy problem ut=?um on ]0,?[×RN, u(0,?)=f on RN. The authors prove that as m??, the corresponding solutions um(t)?u_=f+?w in L1(RN), uniformly for t in a compact set in ]0,?[, where 0?w_?L1(Rn) is the s[...]
