On Nonminimizing Solutions of Elliptic Free Boundary Problems
Institution
Florida Institute of Technology
Abstract
We present a variational framework for studying the existence and regularity of solutions to elliptic free boundary problems that do not necessarily minimize energy. Particular attention will be given to mountain pass solutions of superlinear free boundary problems, including problems with critical Sobolev growth.
COinS
On Nonminimizing Solutions of Elliptic Free Boundary Problems
We present a variational framework for studying the existence and regularity of solutions to elliptic free boundary problems that do not necessarily minimize energy. Particular attention will be given to mountain pass solutions of superlinear free boundary problems, including problems with critical Sobolev growth.
