208 citations · 478 across the 22 of their papers we have counts for
3 papers · 2 filters
The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate
Denis Bonheure, Silvia Cingolani, Jean Van Schaftingen
We derive the asymptotic decay of the unique positive, radially symmetric solution to the logarithmic Choquard equation $$ - Δu + a u = \frac{1}{2 π} \Bigl[\ln \frac{1}{|x|}* |u|^2…
Amann-Zehnder type results for p-Laplace problems
Silvia Cingolani, Marco Degiovanni, Giuseppina Vannella
The existence of a nontrivial solution is proved for a class of quasilinear elliptic equations involving, as principal part, either the p-Laplace operator or the operator related t…
Multiple complex-valued solutions for nonlinear magnetic Schrodinger equations
Silvia Cingolani, Louis Jeanjean, Kazunaga Tanaka
We study, in the semiclassical limit, the singularly perturbed nonlinear Schrödinger equations $$ L^{\hbar}_{A,V} u = f(|u|^2)u \quad \mbox{in } R^N $$ where , $L^{\hbar}…