Quasilinear elliptic and parabolic systems with nondiagonal principal matrices and strong nonlinearities in the gradient. Solvability and regularity problems
Abstract:
We consider nondiagonal elliptic and parabolic systems of equations with strongly nonlinear terms in the gradient. We review and comment known solvability and regularity results and describe the last author's results in this field.
Keywords:nonlinear elliptic systems, nonlinear parabolic systems, regularity of weak solutions.
Fulltext:
PDF file (296 kB)