An electronic apparatus comprising: a flexible display; a sensor configured to detect a bending of the flexible display; and a processor configured to: control the flexible display to display an execution screen of a first application on an entire area of the flexible display; and based on bending of a corner of the flexible display and maintaining a bent state while the execution screen of the first application is displayed on the flexible display, control the flexible display to display an execution screen of a second application different from the first application on an edge area of the flexible display corresponding to the corner and display the execution screen of the first application on an area excluding the corner area and the edge area; based on a touch being input on the edge area and the area excluding the corner area and the edge area while the execution screen of the first application and the execution screen of the second application is displayed on the flexible display, control the flexible display to display a background screen or a predetermined UI instead of the application execution screen of the first application and the application execution screen of the second application; wherein the edge area is positioned with reference to an end point of a boundary line of the corner. a flexible display; a sensor configured to detect a bending of the flexible display; and a processor configured to: control the flexible display to display an execution screen of a first application on an entire area of the flexible display; and based on bending of a corner of the flexible display and maintaining a bent state while the execution screen of the first application is displayed on the flexible display, control the flexible display to display an execution screen of a second application different from the first application on an edge area of the flexible display corresponding to the corner and display the execution screen of the first application on an area excluding the corner area and the edge area; based on a touch being input on the edge area and the area excluding the corner area and the edge area while the execution screen of the first application and the execution screen of the second application is displayed on the flexible display, control the flexible display to display a background screen or a predetermined UI instead of the application execution screen of the first application and the application execution screen of the second application; wherein the edge area is positioned with reference to an end point of a boundary line of the corner. control the flexible display to display an execution screen of a first application on an entire area of the flexible display; and based on bending of a corner of the flexible display and maintaining a bent state while the execution screen of the first application is displayed on the flexible display, control the flexible display to display an execution screen of a second application different from the first application on an edge area of the flexible display corresponding to the corner and display the execution screen of the first application on an area excluding the corner area and the edge area; based on a touch being input on the edge area and the area excluding the corner area and the edge area while the execution screen of the first application and the execution screen of the second application is displayed on the flexible display, control the flexible display to display a background screen or a predetermined UI instead of the application execution screen of the first application and the application execution screen of the second application; wherein the edge area is positioned with reference to an end point of a boundary line of the corner.