Content area
Abstract
The real Monge-Ampere equation$$\left\{\eqalign{&M(u) = det(\nabla\sp2u) = g(x, -u)\quad{\rm in}\ \Omega\cr&u = 0\qquad\qquad\qquad\qquad\qquad\qquad{\rm on}\ \partial\Omega}$$ was studied in this dissertation. This dissertation consists of two different types of numerical solutions for the real Monge-Ampere Equations (one is the mountain pass solution and the other is the minimum solution). The second part is concerned with the monotonicity property of the subsolution and supersolution. The numerical results will be approached by this monotonicity property for $M(u) = det(\nabla\sp2u) = h(x)e\sp{u}$.
Details
Title
Numerical and theoretical results for the real Monge-Ampere equations
Author
Wang, Chunying
Year
1995
ISBN
979-8-208-97269-4
Source type
Dissertation or Thesis
Language of publication
English
ProQuest document ID
304211549
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
