Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This unique volum

Concentration compactness methods are applied to PDE's that lack compactness properties, typically due to the scaling invariance of the underlying problem. This

Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This unique volum

Wave maps are the simplest wave equations taking their values in a Riemannian manifold $(M,g)$. Their Lagrangian is the same as for the scalar equation, the onl

This self-contained research monograph focuses on semilinear Dirichlet problems and similar equations involving the p-Laplacian. The author explains new techniq