TY - JOUR ID - Szlachtowska2012 LB - Szlachtowska2012 AU - Szlachtowska, Ewa TI - On the solvability of Dirichlet problem for the weighted p-Laplacian ST - On the solvability of Dirichlet problem for the weighted p-Laplacian JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2012 VL - 32 IS - 4 SP - 775 EP - 781 DO - http://dx.doi.org/10.7494/OpMath.2012.32.4.775 UR - http://dx.doi.org/10.7494/OpMath.2012.32.4.775 AB - The paper investigates the existence and uniqueness of weak solutions for a non-linear boundary value problem involving the weighted \(p\)-Laplacian. Our approach is based on variational principles and representation properties of the associated spaces. KW - \(p\)-Laplacian KW - weak solutions KW - solvability SN - 1232-9274 ER -