1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.AP2008★ 1 cited
On a --Laplace equation with multiple critical nonlinearities
Roberta Filippucci, Patrizia Pucci, Frédéric Robert
Using the Mountain--Pass Theorem of Ambrosetti and Rabinowitz we prove that $-Δ_p u-μ|x|^{-p}{u^{p-1}}=|x|^{-s}{u^{\crits-1}}+u^{\crit-1}$ admits a positive weak solution in $\rn$…
math.AP2007
Existence and non-existence results for quasilinear elliptic exterior problems with nonlinear boundary conditions
Roberta Filippucci, Patrizia Pucci, Vicentiu Radulescu
Existence and non-existence results are established for quasilinear elliptic problems with nonlinear boundary conditions and lack of compactness. The proofs combine variational met…