29 citations · 144 across the 45 of their papers we have counts for
10 papers · 1 filter
Symmetry results for cooperative elliptic systems in unbounded domains
Lucio Damascelli, Francesca Gladiali, Filomena Pacella
In this paper we prove symmetry results for classical solutions of semilinear cooperative elliptic systems in R^N, or in the exterior of a ball. We consider the case of fully coupl…
A Computer-Assisted Uniqueness Proof for a Semilinear Elliptic Boundary Value Problem
Patrick J. McKenna, Filomena Pacella, Michael Plum +1
A wide variety of articles, starting with the famous paper (Gidas, Ni and Nirenberg in Commun. Math. Phys. 68, 209-243 (1979)) is devoted to the uniqueness question for the semilin…
Alternating sign multibump solutions of nonlinear elliptic equations in expanding tubular domains
Nils Ackermann, Monica Clapp, Filomena Pacella
Let denote a smooth simple curve in , , possibly with boundary. Let be the open normal tubular neighborhood of radius 1 of the expanded curve $R…
Solutions of semilinear elliptic equations in tubes
Frank Pacard, Filomena Pacella, Berardino Sciunzi
Given a smooth compact k-dimensional manifold Λembedded in , with m\geq 2 and 1\leq k\leq m-1, and given ε>0, we define B_ε(Λ) to be the geodesic tubular neighborhoo…
A Reduction Method for Semilinear Elliptic Equations and Solutions Concentrating on Spheres
Filomena Pacella, P. N. Srikanth
We show that any general semilinear elliptic problem with Dirichlet or Neumann boundary conditions in an annulus A in R^2m ;m >1, invariant by the action of a certain symmetry grou…
Sign changing solutions of Lane Emden problems with interior nodal line and semilinear heat equations
Francesca De Marchis, Isabella Ianni, Filomena Pacella
We consider the semilinear Lane Emden problem in a smooth bounded simply connected domain in the plane, invariant by the action of a finite symmetry group G. We show that if the or…