4 papers · 1 filter
Well-posedness of nonlinear parabolic equations with unbounded drift via nonlinear evolution theory
Thi Tam Dang, Trung Hau Hoang, Giandomenico Orlandi +1
We develop a nonlinear evolution framework for nonlinear parabolic equations with unbounded drift terms formulated in Lorentz spaces. The main contribution lies in the construction…
Multiplicity of solutions for Gross-Pitaevskii equations on Riemannian manifolds
Dario Corona, Stefano Nardulli, Ramon Oliver-Bonafoux +1
We provide a multiplicity result for solutions of time-independent Gross-Pitaevskii equations on closed Riemannian manifolds. Such solutions arise as (possibly non-minimizing) crit…
-convergence of the -Dirichlet energy for manifold-valued maps
Giacomo Canevari, Van Phu Cuong Le, Ramon Oliver-Bonafoux +1
We prove a -convergence result for the -Dirichlet energy functional defined on maps from a smooth bounded domain to , a -con…
Multiplicity results for mass constrained Allen-Cahn equations on Riemannian manifolds with boundary
Dario Corona, Stefano Nardulli, Ramon Oliver-Bonafoux +2
We present multiplicity results for mass constrained Allen-Cahn equations on a Riemannian manifold with boundary, considering both Neumann and Dirichlet conditions. These results h…