Browsing Department of Mathematics (MU) by Thesis Advisor "Verbitsky, Igor E."
Now showing items 13 of 3

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] ... 
Potential theory methods for some nonlinear elliptic equations
(University of MissouriColumbia, 2018)This dissertation presents a uni ed approach via potential theory for solvability of a class of nonlinear elliptic equations.