Abstract
This article mainly investigates the existence of global strong solution of a class of fully nonlinear evolution equation and the strong solution of its steady‐state equation. By using the T‐compulsorily weakly continuous operator theory, the existence of the global strong solution of the fully nonlinear evolution equation is obtained. In addition, based on the acute angle principle, the W2,p‐strong solution for the corresponding stationary equation is also derived.
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