Quasilinear elliptic and parabolic systems with nondiagonal principal matrices and strong nonlinearities in the gradient. Solvability and regularity problems

A. A. Arkhipova

Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 69 (2023) no. 1, pp. 18-31.

Résumé

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.

Détail

Keywords: nonlinear elliptic systems, nonlinear parabolic systems, regularity of weak solutions.

Bibliographie

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