Contemporary Mathematics 2004; 285 pp; softcover Volume: 357 ISBN10: 0821833391 ISBN13: 9780821833391 List Price: US$92 Member Price: US$73.60 Order Code: CONM/357
 A conference was organized to discuss research in variational methods as applied to nonlinear elliptic PDE. This volume resulted from that gathering. Included are both survey and research papers that address important open questions and offer suggestions on analytical and numerical techniques for solving those open problems. It is suitable for graduate students and research mathematicians interested in elliptic partial differential equations. Readership Graduate students and research mathematicians interested in elliptic partial differential equations. Table of Contents  A. Castro  Semilinear equations with discrete spectrum
 G. Chen, Y. Deng, W.M. Ni, and J. Zhou  Semilinear elliptic boundary value problems with nonlinear oblique boundary conditions, a boundary element monotone iteration approach
 G. Chen, Z. Ding, C.R. Hu, W.M. Ni, and J. Zhou  A note on the elliptic SineGordon equation
 G. Chen, B. G. Englert, and J. Zhou  Convergence analysis of an optimal scaling algorithm for semilinear elliptic boundary value problems
 J. W. Neuberger and R. J. Renka  Sobolev gradients: Introduction, applications, problems
 D. G. Costa and H. Tehrani  Unbounded perturbations of resonant Schrodinger equations
 J. Čepička, P. Drábek, and P. Girg  Quasilinear boundary value problems: Existence and multiplicity results
 P. Drábek and S. B. Robinson  Eigenvalue problems, resonance problems and open problems
 P. Padilla  Variational, dynamic and geometric aspects of some nonlinear problems
 V. L. Shapiro  The perturbed \(p\)Laplacian and quadratic growth
 I. Knowles  Variational methods for illposed problems
 J. M. Neuberger  GNGA: Recent progress and open problems for semilinear elliptic PDE
 F. Catrina  Critical nonlinearities and symmetric solutions
 J. A. Iaia  Nonconvergent radial solutions of a semilinear elliptic equation in \(\mathbb{R}^N\)
 Z. Feng  Traveling wave solutions to nonlinear evolution equations
