2 problems

Let ${\mathfrak m}$ be the coefficient arising in the expansion of the squared $L^2$ norm of the concentrating profile, and suppose that the condition … {mathfrak m}0 … ; its valid…

Let $\rho$to$2\sigma_0$ from below or above, and consider the Dirichlet and Neumann problems on a ball, respectively, with single-peak solutions concentrating at the origin. Here,…