Author | Ambrosio, Luigi. author |
---|---|
Title | Calculus of Variations and Partial Differential Equations [electronic resource] : Topics on Geometrical Evolution Problems and Degree Theory / by Luigi Ambrosio, Norman Dancer ; edited by Giuseppe Buttazzo, Antonio Marino, M. K. V. Murthy |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000 |
Connect to | http://dx.doi.org/10.1007/978-3-642-57186-2 |
Descript | X, 348 p. 4 illus. online resource |
I Geometric Evolution Problems -- Geometric evolution problems, distance function and viscosity solutions -- Variational models for phase transitions, an approach via ?-convergence -- Some aspects of De Giorgiโs barriers for geometric evolutions -- Partial Regularity for Minimizers of Free Discontinuity Problems with p-th Growth -- Free discontinuity problems and their non-local approximation -- II Degree Theory on Convex Sets and Applications to Bifurcation -- Degree theory on convex sets and applications to bifurcation -- Nonlinear elliptic equations involving critical Sobolev exponents -- On the existence and multiplicity of positive solutions for semilinear mixed and Neumann elliptic problems -- Solitons and Relativistic Dynamics -- An algebraic approach to nonstandard analysis -- References