A mixed problem with a boundary Dirichlet condition and nonlocal integral condition is considered for a two-dimensional elliptic equation.The existence and uniqueness of a weak solution of this problem are proved in a weighted Sobolev space.
机构:
Georgian Acad Sci, A Razmadze Math Inst, GE-0193 Tbilisi, Caucasus, GeorgiaGeorgian Acad Sci, A Razmadze Math Inst, GE-0193 Tbilisi, Caucasus, Georgia