TY - JOUR ID - Roşiu2019 LB - Roşiu2019 AU - Roşiu, Monica TI - Extremal length and Dirichlet problem on Klein surfaces ST - Extremal length and Dirichlet problem on Klein surfaces JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2019 VL - 39 IS - 2 SP - 281 EP - 296 DO - https://doi.org/10.7494/OpMath.2019.39.2.281 UR - https://doi.org/10.7494/OpMath.2019.39.2.281 AB - The object of this paper is to extend the method of extremal length to Klein surfaces by solving conformally invariant extremal problems on the complex double. Within this method we define the extremal length, the extremal distance, the conjugate extremal distance, the modulus, the reduced extremal distance on a Klein surface and we study their dependences on arcs. KW - Klein surface KW - extremal length KW - extremal distance SN - 1232-9274 ER -