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Perspectives in Nonlinear Partial Differential Equations: In Honor of Haïm Brezis

Henri Berestycki, Michiel Bertsch, Felix E. Browder, Louis Nirenberg, Lambertus A. Peletier, and Laurent Véron, editors
American Mathematical Society
Publication Date: 
Number of Pages: 
Contemporary Mathematics 446
We do not plan to review this book.
  • A. Aftalion -- Vortex patterns in Bose Einstein condensates
  • A. Ambrosetti and A. Malchiodi -- Concentration phenomena for nonlinear Schrödinger equations: Recent results and new perspectives
  • L. Ambrosio, C. De Lellis, and J. Maly -- On the chain rule for the divergence of $BV$-like vector fields: Applications, partial results, open problems
  • A. Bahri -- Compactness
  • H. Berestycki and F. Hamel -- Generalized travelling waves for reaction-diffusion equations
  • F. Bethuel and D. Chiron -- Some questions related to the lifting problem in Sobolev spaces
  • J. Bourgain -- Normal forms and the nonlinear Schrödinger equation
  • X. Cabré -- Extremal solutions and instantaneous complete blow-up for elliptic and parabolic problems
  • L. A. Caffarelli and A. Mellet -- Capillary drops on an inhomogeneous surface
  • P. Constantin -- Diffusive Lagrangian transformations, Navier-Stokes equations and applications
  • J.-M. Coron -- Some open problems on the control of nonlinear partial differential equations
  • L. C. Evans -- The 1-Laplacian, the $\infty$-Laplacian and differential games
  • J.-F. Le Gall -- Probabilistic approach to a class of semilinear partial differential equations
  • A. Haddad and Y. Meyer -- Variational methods in image processing
  • S. Klainerman -- Null hypersurfaces with finite curvature flux and a breakdown criterion in general relativity
  • Y. Li -- Some Liouville theorems and applications
  • F. Lin and Y. Yang -- Analysis on Faddeev knots and Skyrme solitons: Recent progress and open problems
  • M. Marcus and L. Véron -- The precise boundary trace of positive solutions of the equation $\Delta u=u^q$ in the supercritical case
  • H. Matano -- Blow-up in nonlinear heat equations with supercritical power nonlinearity
  • P. Mironescu -- Sobolev maps on manifolds: Degree, approximation, lifting
  • P. Pucci, B. Sciunzi, and J. Serrin -- Partial and full symmetry of solutions of quasilinear elliptic equations, via the comparison principle
  • P. H. Rabinowitz -- Single and multi-transition solutions of a family of pde's
  • S. Serfaty -- Some methods and issues in the dynamics of vortices in the parabolic Ginzburg-Landau equations