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catalog abstract "The link between Calculus of Variations and Partial Differential Equations has always been strong, because variational problems produce, via their Euler-Lagrange equation, a differential equation and, conversely, a differential equation can often be studied by variational methods. At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on a classical topic (the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to pde's resp.), in a self-contained presentation accessible to PhD students, bridging the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and nicely illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results.".
catalog contributor b12188488.
catalog contributor b12188489.
catalog contributor b12188490.
catalog contributor b12188491.
catalog contributor b12188492.
catalog contributor b12188493.
catalog created "c2000.".
catalog date "2000".
catalog date "c2000.".
catalog dateCopyrighted "c2000.".
catalog description "I. Geometric Evolution Problems -- Geometric evolution problems, distance function and viscosity solutions / L. Ambrosio -- Variational models for phase transitions, an approach via [Gamma]-convergence / G. Alberti -- Some aspects of De Giorgi's barriers for geometric evolutions / G. Bellettini and M. Novaga -- Partial Regularity for Minimizers of Free Discontinuity Problems with p-th Growth / A. Leaci -- Free discontinuity problems and their non-local approximation / A. Braides -- II. Degree Theory on Convex Sets and Applications to Bifurcation -- Degree theory on convex sets and applications to bifurcation / E. N. Dancer -- Nonlinear elliptic equations involving critical Sobolev exponents / D. Passaseo -- On the existence and multiplicity of positive solutions for semilinear mixed and Neumann elliptic problems / G. Cerami -- Solitons and Relativistic Dynamics / V. Benci and D. Fortunato -- An Algebraic approach to nonstandard analysis / V. Benci.".
catalog description "Includes bibliographical references (p. 327-343) and index.".
catalog description "The link between Calculus of Variations and Partial Differential Equations has always been strong, because variational problems produce, via their Euler-Lagrange equation, a differential equation and, conversely, a differential equation can often be studied by variational methods. At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on a classical topic (the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to pde's resp.), in a self-contained presentation accessible to PhD students, bridging the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and nicely illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results.".
catalog extent "viii, 347 p. :".
catalog identifier "3540648038 (softcover : alk. paper)".
catalog issued "2000".
catalog issued "c2000.".
catalog language "eng".
catalog publisher "Berlin ; New York : Springer,".
catalog subject "515/.64 21".
catalog subject "Calculus of variations.".
catalog subject "Differential equations, Partial.".
catalog subject "Mathematical optimization.".
catalog subject "Mathematical physics.".
catalog subject "Mathematics.".
catalog subject "QC20.7.C3 A43 2000".
catalog subject "Systems theory.".
catalog subject "Topological degree.".
catalog tableOfContents "I. Geometric Evolution Problems -- Geometric evolution problems, distance function and viscosity solutions / L. Ambrosio -- Variational models for phase transitions, an approach via [Gamma]-convergence / G. Alberti -- Some aspects of De Giorgi's barriers for geometric evolutions / G. Bellettini and M. Novaga -- Partial Regularity for Minimizers of Free Discontinuity Problems with p-th Growth / A. Leaci -- Free discontinuity problems and their non-local approximation / A. Braides -- II. Degree Theory on Convex Sets and Applications to Bifurcation -- Degree theory on convex sets and applications to bifurcation / E. N. Dancer -- Nonlinear elliptic equations involving critical Sobolev exponents / D. Passaseo -- On the existence and multiplicity of positive solutions for semilinear mixed and Neumann elliptic problems / G. Cerami -- Solitons and Relativistic Dynamics / V. Benci and D. Fortunato -- An Algebraic approach to nonstandard analysis / V. Benci.".
catalog title "Calculus of variations and partial differential equations : topics on geometrical evolution problems and degree theory / L. Ambrosio, N. Dancer ; edited by G. Buttazzo, A. Marino, M.K.V. Murthy.".
catalog type "Pisa (1996) swd".
catalog type "text".