Some qualitative properties of solutions of a mixed boundary value problem for second-order quasilinear elliptic equations. (English. Russian original) Zbl 1290.35126
Differ. Equ. 37, No. 12, 1783-1786 (2001); translation from Differ. Uravn. 37, No. 12, 1695-1697 (2001).
From the introduction: We consider divergent second-order quasilinear elliptic equations. We prove Harnack inequalities, necessary and sufficient conditions for the regularity of a boundary point, the Hölder property of the solution, and estimates of the behavior of solutions for mixed boundary value problems.
MSC:
| 35J67 | Boundary values of solutions to elliptic equations and elliptic systems |
| 35B05 | Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs |
| 35J60 | Nonlinear elliptic equations |
