Nonlinear nonlocal problems of fluid-solid interactions. - Curvature dependent phase boundary motion and parabolic double obstacle problems. - On the Harnack inequality for non-negative solutions of singular parabolic equations. - A BMO bound for eigenfunctions on Riemannian manifolds. - On some monotonicity in time properties for a quasilinear parabolic equation with source. - On the asymptotic properties of Leray's solutions to the exterior steady three-dimensional Navier-Stokes equations with zero velocity at infinity. - Some results on blow up for semilinear parabolic problems. - Long-time behaviour of solutions of quasilinear parabolic equations. - Spike-layers in semilinear elliptic singular perturbation problems. - Evolution of nonparametric surfaces with speed depending on curvature III. Some remarks on mean curvature and anisotropic flows. - Continuation and limit behavior for damped quasi-variational systems. - Multibump solutions of a semilinear elliptic PDE on Rn. - Einstein/Yang-Mills equations. - The Dirichlet problem for functions of least gradient. - Asymptotic behaviour of nonlinear parabolic equations. Anomalous exponents. Language: English