Function Spaces, Differential Operators and Nonlinear Analysis

Spaces of differentiable functions.- Entropy, embeddings and equations.- Nonvariational elliptic systems via Galerkin methods.- Superposition operators in Zygmund and BMO spaces.- Asymptotics of a singular solution to the Dirichlet problem for an elliptic equation with discontinuous coefficients near the boundary.- Weighted Hardy spaces on a domain and its application.- The general blow-up for nonlinear PDE's.- Laplace and Schrodinger operators on regular metric trees: the discrete spectrum case.- Inverse boundary problems in two dimensions.- On the regularity of weak solutions of elliptic systems in Banach spaces.- Complements and results on h-sets.- Lifting properties of Sobolev spaces.- Sharp estimates of approximation numbers via growth envelopes.- Sharp summability of functions from Orlicz-Sobolev spaces.- Regularity problems for some semi-linear problems.- Besov Regularity for the Neumann Problem.- Intrinsic descriptions using means of differences for Besov spaces on Lipschitz domains.- Landesman-Lazer type like results for the p-Laplacian.- On the Sobolev, Hardy and CLR inequalities associated with Schrodinger operators.- Mazur distance and normal structure in Banach spaces.- Some inequalities for integral operators, associated with the Bessel differential operator.- On determining individual behaviour from population data.- Nonlocal investigations of inhomogeneous indefinite elliptic equations via variational methods.- Regularity results and parametrices of semi-linear boundary problems of product type.- Potential estimates for large solutions of semilinear elliptic equations.- Coarea properties of Sobolev functions.- Banach envelopes of the Besov and Triebel-Lizorkin spaces and applications to PDE's.- On the flow map for a class of parabolic equations.- Spaces of functions with bounded and vanishing mean oscillation.- On equivalent quasi-norms on Lorentz spaces.- Concave functions of second order elliptic operators, kernel estimates and applications.- On approximation of solutions of parabolic functional differential equations in unbounded domains.- Function spaces in presence of symmetries: compactness of embeddings, regularity and decay of functions.- Participants FSDONA-Ol.