29 citations · 144 across the 45 of their papers we have counts for
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Asymptotic analysis and sign changing bubble towers for Lane-Emden problems
Francesca De Marchis, Isabella Ianni, Filomena Pacella
We consider the semilinear Lane-Emden problem in a smooth bounded domain of the plane. The aim of the paper is to analyze the asymptotic behavior of sign changing solutions as the…
Blow up of solutions of semilinear heat equations in general domains
Valeria Marino, Filomena Pacella, Berardino Sciunzi
Consider the nonlinear heat equation in a bounded smooth domain with and Dirichlet boundary condition. Given a sign-changing st…
Sign-changing stationary solutions and blowup for the nonlinear heat equation in dimension two
Flavio Dickstrein, Filomena Pacella, Berardino Scunzi
Consider the nonlinear heat equation v_t-Δv=|v|^{p-1}v in the unit ball of R^2, with Dirichlet boundary condition. Let u_{p,K} be a radially symmetric, sign-changing stationary sol…
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…