Browsing Department of Mathematics (MU) by Thesis Advisor "Verbitsky, Igor E."
Now showing items 12 of 2

Nonlinear equations with natural growth terms
(University of MissouriColumbia, 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∣p2u ... 
Potential theory and harmonic analysis methods for quasilinear and Hessian equations
(University of MissouriColumbia, 2006)The existence problem is solved, and global pointwise estimates of solutions are obtained for quasilinear and Hessian equations of LaneEmden type, including the following two model problems:[delta]pu = uq + [mu], Fk[u] ...