12 citations · 38 across the 5 of their papers we have counts for
4 papers · 1 filter
Bubble concentration on spheres for supercritical elliptic problems
Filomena Pacella, Angela Pistoia
We consider the supercritical Lane-Emden problem $$(P_\eps)\qquad -Δv= |v|^{p_\eps-1} v \ \hbox{in}\ \mathcal{A} ,\quad u=0\ \hbox{on}\ \partial\mathcal{A} $$ where is…
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…
Lane Emden problems with large exponents and singular Liouville equations
Massimo Grossi, Christopher Grumiau, Filomena Pacella
We consider the Lane-Emden Dirichlet problem -Δu = \abs{u}^{p-1}u, in B, u =0, on \partial B, where and denotes the unit ball in $\IR^2$. We study the asymptotic behavior…