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

Smoothness and regularity of solutions to PDEs (35B65) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Second-order parabolic systems (35K40) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62) Quasilinear parabolic equations (35K59)

Cites Work

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Finite time blowup for parabolic systems in two dimensions
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Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution
Continuity of Solutions of Parabolic and Elliptic Equations
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Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
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Non-Lipschitz minimizers of smooth uniformly convex functionals

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