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Symmetry breaking results for problems with exponential growth in the unit disk
S. Secchi, E. Serra
We investigate some asymptotic properties of extrema to a two-dimensional variational problem in the unit disk. Some results about non-radialicity of solutions are given.
On the location of concentration points for singularly perturbed elliptic equations
Simone Secchi, Marco Squassina
By means of a variational identity of Pohožaev-Pucci-Serrin type for solutions of class recently obtained, we give some necessary conditions for locating the concentration po…
On a class of singularly perturbed elliptic equations in divergence form
Alessio Pomponio, Simone Secchi
We prove the existence of one or more solutions to a singularly perturbed elliptic problema with two potential functions.
Remarks on a Sobolev-Hardy inequality
S. Secchi, D. Smets, M. Willem
We compute the optimal constant for a generalized Hardy-Sobolev inequality, and using the product of two symmetrizations we present an elementary proof of the symmetries of some op…
Nonlinear differential equations on non-compact domains
Simone Secchi
We present some results in the analysis of non-compact differential equations on unbounded domains.