Regularity results for degenerate elliptic systems

In turn, the a priori estimates derived imply the existence of locally Lipschitz regular solutions to certain degenerate systems with critical growth of the type arising

A priori regularity for weak solutions of some nonlinear elliptic equations.. Annales

Nonlinear strictly elliptic equations, Nonlinear parabolic equations, Hamilton- Jacobi equations, gradient bounds, oscillation, Lipschitz regularity, H¨ older regularity, strong

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C 1,β REGULARITY FOR DIRICHLET PROBLEMS ASSOCIATED TO FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS...

For second order boundary boundary value problems that allow a coercive variational formulation, one knows basic regularity in weighted Sobolev spaces in a form that fits the

Vladut in [15] have proved C 2 regularity of radial solutions for a more general class of fully nonlinear operators uniformly elliptic.. In particular for N ≤ 3 the solutions are C

Up to our knowledge, the first need for a regularity result on F ( ∇ u) in the case of a degenerate function F of this kind has been encountered in [1] for a variational problem