To solve the ill-posed problem of the super-resolution image regularization reconstruction, an energy function based on p(x) harmonic mapping regularization and super-resolution image observed model was drawn. The super-resolution image was obtained by a dynamic partial differential equation. The algorithm could adopt the different norm adaptively during regularization reconstruction, which used near 2-norm in smooth region and near 1-norm in the image edge region. The experiments show the algorithm not only reconstructs the super-resolution image efficiently, but also improves the “blocky” effect while preserving the edges.