Trippenbach, MarekInfeld, EGocalek, JMatuszewski, MichalOberthaler, Markus KMalomed, Boris A2015-12-081050-2947http://hdl.handle.net/1885/34937We study stationary states of a two-dimensional (2D) Bose-Einstein condensate with both attractive and repulsive nonlinearities in a combination of a double-square-well potential in one direction and a perpendicular optical lattice. We look for dual-coreKeywords: Bifurcation (mathematics); Bose-Einstein condensation; Crystal lattices; Flow interactions; Gallium alloys; Ketones; Optical materials; Optical systems; Phase transitions; Steam condensers; Two dimensional; 2-D systems; American Physical Society (APS); AtSpontaneous symmetry breaking of gap solitons and phase transitions in double-well traps200810.1103/PhysRevA.78.0136032015-12-08