A display apparatus comprising: a display panel configured to display an image and sense a touch event; a deformation sensor configured to sense bending of the display panel; and a controller configured to control the display panel, wherein the controller is configured to: detect the bending using the deformation sensor; control displaying a first icon corresponding to a first application in a first icon arrangement area; detect a first touch input selecting the first icon; detect a first bending of the display panel after detecting the first touch input; determine that an execution command executing the first application is input according to the first touch input and the first bending to generate a first control signal; execute the first application in response to the first control signal; wherein the controller is further configured to: define an execution area distinct from the first icon arrangement area in the display panel according to the first bending; display an execution screen of the first application in the execution area; detect a second bending of the display panel while the first touch input is maintained; determine that an execution command controlling a size of the execution screen of the first application is input according to the maintained first touch input and the second bending to generate a second control signal; and control the size of the execution screen of the first application in response to the second control signal. a display panel configured to display an image and sense a touch event; a deformation sensor configured to sense bending of the display panel; and a controller configured to control the display panel, wherein the controller is configured to: detect the bending using the deformation sensor; control displaying a first icon corresponding to a first application in a first icon arrangement area; detect a first touch input selecting the first icon; detect a first bending of the display panel after detecting the first touch input; determine that an execution command executing the first application is input according to the first touch input and the first bending to generate a first control signal; execute the first application in response to the first control signal; wherein the controller is further configured to: define an execution area distinct from the first icon arrangement area in the display panel according to the first bending; display an execution screen of the first application in the execution area; detect a second bending of the display panel while the first touch input is maintained; determine that an execution command controlling a size of the execution screen of the first application is input according to the maintained first touch input and the second bending to generate a second control signal; and control the size of the execution screen of the first application in response to the second control signal. detect the bending using the deformation sensor; control displaying a first icon corresponding to a first application in a first icon arrangement area; detect a first touch input selecting the first icon; detect a first bending of the display panel after detecting the first touch input; determine that an execution command executing the first application is input according to the first touch input and the first bending to generate a first control signal; execute the first application in response to the first control signal; wherein the controller is further configured to: define an execution area distinct from the first icon arrangement area in the display panel according to the first bending; display an execution screen of the first application in the execution area; detect a second bending of the display panel while the first touch input is maintained; determine that an execution command controlling a size of the execution screen of the first application is input according to the maintained first touch input and the second bending to generate a second control signal; and control the size of the execution screen of the first application in response to the second control signal. define an execution area distinct from the first icon arrangement area in the display panel according to the first bending; display an execution screen of the first application in the execution area; detect a second bending of the display panel while the first touch input is maintained; determine that an execution command controlling a size of the execution screen of the first application is input according to the maintained first touch input and the second bending to generate a second control signal; and control the size of the execution screen of the first application in response to the second control signal.