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Resumen de Existence of solutions bounded at infinity for a semilinear elliptic equation on RN

Juan Luis Vázquez Árbol académico

  • We prove the existence of weak solutions for the equation - Au + B(u) e f, where B is a maximal monotone graph in R with 0 e B(0) and f e L1loc (Rn) is strictly bounded at infinity by the graph B.

    These results continue those of Ph. Bénilan, H. Brézis and M. Crandall in the case f e L1 (Rn)


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