Concentration Analysis and Applications to Pde: Icts Workshop, Bangalore, January 2012
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Introduction.- On the Elements Involved in the Lack of Compactness in Critical Sobolev Embedding.- A Class of Second-order Dilation Invariant Inequalities.- Blow-up Solutions for Linear Perturbations of the Yamabe Equation.- Extremals for Sobolev and Exponential Inequalities in Hyperbolic Space.- The Lyapunov-Schmidt Reduction for Some Critical Problems.- A General Theorem for the Construction of Blowing-up Solutions to Some Elliptic Nonlinear Equations via Lyapunov-Schmidt's Finite-dimensional Reduction.- Concentration Analysis and Cocompactness.- A Note on Non-radial Sign-changing Solutions for the Schr?dinger-Poisson Problem in the Semiclassical Limit.
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