For readers who have completed their study of linear elliptic differential equations and intend to explore nonlinear ones, Han discusses quasilinear and fully nonlinear equations, focusing on two important nonlinear elliptic differentials closely related to geometry, the mean curvature equation and the Monge-Ampére equation. He discusses in detail the Dirichlet problems for quasilinear and fully nonlinear elliptic equations of the second order: quasilinear uniformly elliptic equations in arbitrary domains, mean curvature equations in domains with non-negative boundary mean curvature, fully nonlinear uniformly elliptic equations in arbitrary domains, and Monge-Ampére equation in uniformly convex domains. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)
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Qing Han, University of Notre Dame, IN, USA.
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