Massimo Grossi

Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory

Abstract. We study a perturbed semilinear problem with Neumann boundary condition \[ \cases{ -\varepsilon^2\Delta u+u=u^p & {\rm in} \Omega \cr &\cr u>0 & {\rm in} \Omega\cr &\cr {{\partial u}\over{\partial\nu}}=0& {\rm in} \partial\Omega,\cr} \] where

Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle

\Omega

Asymptotic estimates for a two-dimensional problem with polynomial nonlinearity

is a bounded smooth domain of

A NONEXISTENCE RESULT OF SINGLE PEAKED SOLUTIONS TO A SUPERCRITICAL NONLINEAR PROBLEM

{mathbb{R}}^N

Asymptotic Estimates and Qualitative Properties of an Elliptic Problem in Dimension Two

,

Uniqueness of the least-energy solution for a semilinear Neumann problem

N\ge2

Symmetry of positive solutions of some nonlinear equations

,

Some Results for the Gelfand's Problem

\varepsilon>0

Positive constrained minimizers for supercritical problems in the ball

,

On the nondegeneracy of the critical points of the Robin function in symmetric domains

1 < p < {{N+2}\over{N-2}}