4 papers
Delaunay solutions to the fractional Hartree equation with critical growth
João Henrique Andrade, Tao Feng, Paolo Piccione +1
We study positive solutions of the critical fractional Hartree equation with a non-removable isolated singularity at the origin. This equation is doubly nonlocal, involving both th…
Survey on topological methods for Allen--Cahn equations and systems
João Henrique Andrade, Stefano Nardulli, Raoní Ponciano
We present a survey on multiplicity results for the Allen--Cahn equation and systems in the singular perturbation regime, emphasizing their geometric interpretation through -con…
Nonhomothetic complete periodic metrics with constant scalar curvature
João H. Andrade, Jeffrey S. Case, Paolo Piccione +1
We show that there are infinitely many pairwise nonhomothetic, complete, periodic metrics with constant scalar curvature that are conformal to the round metric on $S^n\setminus S^k…
Asymptotic behavior of solutions to critical Hartree equations with isolated singularities
João Henrique Andrade, Tao Feng, Paolo Piccione +1
We investigate the qualitative properties of positive classical solutions to critical Hartree equations on punctured domains, assuming that as . For the…