An electronic device having a front region and a side region, comprising: a touch-sensitive flexible display layer comprising a display pixel layer with an array of display pixels and a touch-sensitive layer having touch-sensitive elements, including a first group of display pixels and corresponding touch-sensitive elements, a second group of display pixels and corresponding touch-sensitive elements, and a third group of display pixels and corresponding touch-sensitive elements, wherein the third group is located between the first and second groups; a transparent cover layer having a first portion that covers the touch-sensitive flexible display layer on the front region and a second portion that covers the touch-sensitive flexible display layer on the side region, wherein the first portion of the transparent cover layer defines a plane, wherein the second portion of the transparent cover layer is curved out of the plane, and wherein the first group of display pixels is configured to display images through the transparent cover layer on the front region and the second group of display pixels is configured to display images through the transparent cover layer on the side region; and further comprising: control circuitry configured to selectively activate and inactivate the third group of display pixels and touch-sensitive elements, wherein the control circuitry is configured to activate the third group of display pixels to display images that span across the front region and the side region, and wherein the control circuitry is configured to inactivate the third group of display pixels and corresponding touch-sensitive elements to display a virtual button on the side region that is separate from the front region, and wherein the second group of touch-sensitive elements is configured to detect touch input on the virtual button on the side region. a touch-sensitive flexible display layer comprising a display pixel layer with an array of display pixels and a touch-sensitive layer having touch-sensitive elements, including a first group of display pixels and corresponding touch-sensitive elements, a second group of display pixels and corresponding touch-sensitive elements, and a third group of display pixels and corresponding touch-sensitive elements, wherein the third group is located between the first and second groups; a transparent cover layer having a first portion that covers the touch-sensitive flexible display layer on the front region and a second portion that covers the touch-sensitive flexible display layer on the side region, wherein the first portion of the transparent cover layer defines a plane, wherein the second portion of the transparent cover layer is curved out of the plane, and wherein the first group of display pixels is configured to display images through the transparent cover layer on the front region and the second group of display pixels is configured to display images through the transparent cover layer on the side region; and further comprising: control circuitry configured to selectively activate and inactivate the third group of display pixels and touch-sensitive elements, wherein the control circuitry is configured to activate the third group of display pixels to display images that span across the front region and the side region, and wherein the control circuitry is configured to inactivate the third group of display pixels and corresponding touch-sensitive elements to display a virtual button on the side region that is separate from the front region, and wherein the second group of touch-sensitive elements is configured to detect touch input on the virtual button on the side region.