Angela Pistoia

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

Concentrating solutions for the Hénon equation in ℝ2

\Omega

Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains

is a bounded smooth domain of

Existence of Blowing-up Solutions for a Nonlinear Elliptic Equation with Hardy Potential and Critical Growth

{mathbb{R}}^N

On the effect of the domain geometry on the existence of sign changing solutions to elliptic problems with critical and supercritical growth

,

Critical Points of the

N\ge2

N

,

-vortex Hamiltonian in Bounded Planar Domains and Steady State Solutions of the Incompressible Euler Equations

\varepsilon>0

Concentrating solutions for a Liouville type equation with variable intensities in 2D-turbulence.

,

Existence of blowing-up solutions for a slightly subcritical or a slightly supercritical non-linear elliptic equation on R n

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