Qualitative behavior of axial-symmetric solutions of elliptic free boundary problems.
Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle
Qualitative properties of solutions for quasi-linear elliptic equations.
Qualitative properties of solutions to semilinear heat equations with singular initial data.
Quantitative, uniqueness, and vortex degree estimates for solutions of the Ginzburg-Landau equation.
Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities.
Quasiconvexity at the boundary and concentration effects generated by gradients
We characterize generalized Young measures, the so-called DiPerna–Majda measures which are generated by sequences of gradients. In particular, we precisely describe these measures at the boundary of the domain in the case of the compactification of ℝm × n by the sphere. We show that this characterization is closely related to the notion of quasiconvexity at the boundary introduced by Ball and Marsden [J.M. Ball and J. Marsden, Arch. Ration. Mech. Anal. 86 (1984) 251–277]. As a consequence we get...
Quelques méthodes d'étude de la propagation d'oscillations hyperboliques non linéaires
Quenching for a reaction-diffusion system with coupled inner singular absorption terms.