On the shape of the nonnegative solutions to a singularly perturbed quasilinear Dirichlet problem Original Research Article

We study the shape of the nontrivial nonnegative solutions for a singularly perturbed quasilinear Dirichlet problem with non-Lipschitz nonlinearity. We find that there exists at least one nontrivial nonnegative solution of the problem which consists of some bubbles. The profile of each bubble is discussed.