Variational Methods for Nonlinear Partial Differential Equations

The objective of this work is to explain some basic aspects of variational methods for solving a class of nonlinear partial differential equations. First, relevant mathematical background of functional analysis and variational calculus is explained. One of the main results discussed is the existence theorem for minimizer of functionals for the case of fixed boundary problems. This theorem assumes coercivity and lower semicontinuity conditions of the functional and the energy functional is defined over subsets of Sobolev spaces. After that, the technical concepts associated to this theorem are implemented to study some specific free boundary problems.

Grantor dc:publisher

Wake Forest University

Year dc:date.issued

2010

Author dc:creator

• Tello, Carlos A.

• free-boundary problems

Language dc:language.iso

en

Handle dc:identifier.uri

http://hdl.handle.net/10339/30397

OAI identifier oai:identifier

oai:wakespace.lib.wfu.edu:10339/30397