Finally, part iii contains a selection of recent results on critical fractional equations. Pdf solutions to the prescribed mean curvature equation. Michael struwes research works eth zurich, zurich eth zurich. Solutions to the prescribed mean curvature equation with dirichlet conditions by variational methods. Variational methods applications to nonlinear partial differential equations and hamiltonian systems. Free boundary problems for surfaces of constant mean curvature. Folge a series of modern surveys in mathematics series by michael struwe. Hilberts talk at the second international congress of 1900 in paris marked the beginning of a new era in the calculus of variations. The book gives a concise introduction to variational methods and presents an. Michael struwe born 6 october 1955 in wuppertal is a german mathematician who. Applications to nonlinear partial differential equations and hamiltonian systems was published in 2008, 18 years after the first edition.
Applications to nonlinear partial differential equations and hamiltonian systems michael struwe auth. The fourth edition gives a survey on new developments in the field. Existence of steady vortex rings in an ideal fluid. Applications to nonlinear partial differential equations and hamiltonian systems, second edition, ergeb.
His publications include the book variational methods applications to nonlinear pde. Applications to nonlinear partial differential equations and hamiltonian systems. The fourth edition of michael struwe s book variational methods. The interest of greek philosophers in isoperimetric problems underscores the importance of optimal form in ancient cultures, see hildebrandttromba 1 for a beautiful treatise of this subject.
In particular it includes the proof for the convergence of the yamabe flow and a detailed treatment of the phenomenon of blowup. It has inspired such diverse fields as functional analysis, variational calculus. The book gives a concise introduction to variational methods and presents an overview of areas of current research in the field. The main body of chapter 2 consists of well known results concerning necessary or su.
Variational methods for nondifferentiable functionals and their applications to partial differential equations. Variational methods for nonlocal fractional problems by. Part ii is dedicated to the analysis of fractional elliptic problems involving subcritical nonlinearities, via classical variational methods and other novel approaches. Michael struwe variational methods applications to nonlinear partial differential equations and hamiltonian systems. Michael struwes 105 research works with 6220 citations and 1818 reads, including.
242 251 1139 1072 877 599 149 47 1521 965 1174 905 911 196 608 548 483 120 924 227 243 422 526 286 999 1026 13 1150 739 1041 135 1115 280 418 1203