Yes, mobile apps can apply for software and trademarks.
For soft works, according to the "Computer Software Protection Regulations", any computer software must be registered for software copyright before it can enjoy copyright protection. Therefore, software used to develop mobile apps must also be registered to protect the developer’s intellectual property rights.
For trademarks, if your mobile app has a unique name, logo, pattern, etc., you can apply for trademark protection. A trademark can protect your brand image and business interests and prevent others from plagiarizing or infringing on your trademark rights.
It should be noted that the application process and requirements for software and trademarks are relatively complicated. It is recommended that you consult a professional intellectual property agency or law firm to ensure the smooth progress of the application and the successful protection.