• Nonlinear equations with natural growth terms 

    Jaye, Benjamin James (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 ...
  • Potential theory and harmonic analysis methods for quasilinear and Hessian equations 

    Nguyen, Phuc Cong, 1976- (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] ...