Singularities in PDE and the Calculus of Variations

Abstract

Variational problems arising in biology by E. R. Alvarez-Buylla, M. Benitez, A. Chaos, Y. Cortes, G. Escalera-Santos, C. Espinosa, and P. Padilla On the Cauchy problem for phase and vortices in the parabolic Ginzburg-Landau equation by F. Bethuel, G. Orlandi, and D. Smets Nonlocal Cahn-Hilliard and isoperimetric problems: Periodic phase separation induced by competing long- and short-range interactions by R. Choksi On a generalized Ginzburg-Landau energy for superconducting/normal composite materials by T. Giorgi and H. Jadallah Global questions for map evolution equations by M. Guan, S. Gustafson, K. Kang, and T.-P. Tsai Pohozaev-type identities for an elliptic equation by R. Ignat Some remarks on Monge-Ampere functions by R. L. Jerrard Variational versus pde-based approaches in mathematical image processing by B. Kawohl On the energy of a Chern-Simons-Higgs vortex lattice by M. Kurzke and D. Spirn Some recent results about a class of singularly perturbed elliptic equations by A. Malchiodi The dipole problem for $H^{1/2}(\mathbb{S}^2 \mathbb{S}^1)$-maps and application by V. Millot Hodge decompositions, $\Gamma$-convergence and the Gross-Pitaevskii energy by A. Montero Bifurcation of vortex solutions to a Ginzburg-Landau equation in an annulus by Y. Morita An Allen-Cahn type problem with curvature modification by X. Ren Rare events, action minimization, and sharp interface limits by M. G. Westdickenberg The Gauss-Green theorem for weakly differentiable vector fields by W. P. Ziemer.