In this Research Note the author brings together the body of known work and presents many recent results relating to nonlinear partial differential equations that give rise to a free boundary--usually the boundary of the set where the solution vanishes identically. The formation…
Shape optimization and free boundaries
by OTAN, Université (Montréal, Québec)., Séminaire de Mathématiques Supérieures, Delfour, Michel C., NATO, NATO Advanced Study Institute and Séminaire De Mathématiques Supérieures on Shape Optinization and Free Boundaries, Montréal, Canada)
fromNATO ASI Series : Advanced Science Institutes Series
The subject of this research monograph is semilinear Dirichlet problems and similar equations involving the p-Laplacian. Solutions are constructed by a constraint variational method. The major new contribution is a detailed analysis of low-energy solutions. In PDE terms the low-…
Free boundary problems: theory and applications ; [... proceedings of the…
by Athanasopoulos, I., Makrakis, G., Rodrigues, José Francisco, International Interdisciplinary Congress on Free Boundary Problems: Theory and Applications, International Interdisciplinary Congress on Free Boundary Problems: Theory and Applications, Crete)
fromChapman & Hall/CRC research notes in mathematics series