Global integral gradient bounds for quasilinear equations below or near the natural exponent

and Prignet A., Equivalence between entropy and renormalized solutions for parabolic equa- tions with smooth data, Nonlinear Diff Eq. and Petitta F., Local estimates for

We extend our estimates to equations on complete non compact manifolds satisfying a lower bound estimate on the Ricci curvature, and derive some Liouville type theorems..

V´eron, Nonlinear second order elliptic equations involving measures, Series in Nonlinear Analysis and Applications 21 , De Gruyter, Berlin/Boston (2013).

Here we provide a more elementary proof, which in particular we are inter- ested in the nonlinear potential theory associated with variable exponent for quasilinear elliptic

[14] Stanislav Antontsev Sergey Shmarev : Elliptic Equations with Anisotropic Nonlinearity and Non- standard Growth Conditions, Handbook Of Differential Equations Stationary

- In this paper estimates of the solutions of impulsive quasilinear functional differential equations are obtained and the existence of solutions of certain nonlinear

It is also very useful when we make a systematic analysis of the gradients of solutions of nonlinear elliptic and parabolic problems near the boundary of the irregular domain which

The existence of self-similar solutions for a class of quasilinear degenerate Barenblatt equations related to porous media problems were further investigated in J.. Barenblatt