Browsing Department of Mathematics (MU) by Thesis Advisor "Verbitsky, Igor E."
Now showing items 1-3 of 3
(University of Missouri--Columbia, 2011)This thesis concerns the study of a class of second order quasilinear elliptic differential operators. For 1 < p < ∞, the model equation we consider is: (1) L(u) = -Δpu - σ∣u∣p-2u ...
(University of Missouri--Columbia, 2006)The existence problem is solved, and global pointwise estimates of solutions are obtained for quasilinear and Hessian equations of Lane-Emden type, including the following two model problems:-[delta]pu = uq + [mu], Fk[-u] ...
(University of Missouri--Columbia, 2018)This dissertation presents a uni ed approach via potential theory for solvability of a class of nonlinear elliptic equations.