A. A. Kon’kov

Blow-up of solutions for a class of nondivergence elliptic inequalities

Blow-up conditions are obtained for second-order nondivergence elliptic inequalities containing terms with lower order derivatives.

On nonlinear analogues of the Phragmen–Lindelöf theorem

For solutions of quasilinear elliptic inequalities containing lower-order derivatives, we obtain estimates of the growth that take into account the geometry of the domain. Corollaries of these results are nonlinear analogues of the Phragmen–Lindelöf theorem.