Noncompact Problems at the Intersection of Geometry, Analysis, and Topology.

Intro -- Contents -- Preface -- Conformal deformations of Riemannian metrics via "Critical point theory at infinity": The conformally flat case with umbilic boundary -- Cubic quasilinear wave equation and bilinear estimates -- Ginzburg-Landau functionals, phase transitions and vorticity -- On the topology of conformally compact Einstein 4-manifolds -- On loop spaces of configuration spaces, and related spaces -- Global energy minimizers for free boundary problems and full regularity in three dimensions -- Stability and instability of the Reissner-Nordström Cauchy horizon and the problem of uniqueness in general relativity -- Nonlinear elliptic equations of critical Sobolev growth from a dynamical viewpoint -- Hamiltonian formalisms for multidimensional calculus of variations and perturbation theory -- Revisit the topology of Sobolev maps -- Review on blow up and asymptotic dynamics for critical and subcritical gKdV equations -- Recent advances in the global theory of constant mean curvature surfaces -- On some properties of S1-valued fractional Sobolev spaces -- Homoclinics for a semilinear elliptic PDE -- Vortices for Ginsburg-Landau equations: With magnetic field versus without -- Some regularity problems of stationary harmonic maps.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.