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PHRAGMEN-LINDELOEF THEOREMS FOR SECOND ORDER QUASI-LINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
Abstract
Gilbarg made an important generalization of the Phramen-Lindelöf theorem to uniformly elliptic partial differential equations of second order in two independent variables. Hopf generalized Gilbarg's results to equations of n independent variables.The object of this thesis is to prove Phragmén- Lindelöf theorems for quasi-linear elliptic partial differential equations which are not necessarily uniformly elliptic. Section I contains a brief resume of the classical Phragmén- Lindelof theorem and its extensions and generalizations to elliptic partial differential equations.
Subject Area
Mathematics
Recommended Citation
HERZOG, JOHN ORLANDO, "PHRAGMEN-LINDELOEF THEOREMS FOR SECOND ORDER QUASI-LINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS" (1963). ETD collection for University of Nebraska-Lincoln. AAI6402624.
https://digitalcommons.unl.edu/dissertations/AAI6402624