Clustering layers and boundary layers in spatially inhomogeneous phase transition problems
Continuous dependence on parameters for second order discrete BVP’s
Using Fan’s Min-Max Theorem we investigate existence of solutions and their dependence on parameters for some second order discrete boundary value problem. The approach is based on variational methods and solutions are obtained as saddle points to the relevant Euler action functional.
Correction to the paper “Existence of solutions for the Dirichlet problem with superlinear nonlinearities”
Costruzione di spike-layers multidimensionali
Si studiano soluzioni positive dellequazione in , dove , ed è un piccolo parametro positivo. Si impongono in genere condizioni al bordo di Neumann. Quando tende a zero, dimostriamo esistenza di soluzioni che si concentrano su curve o varietà.
Critical Neumann problem with competing Hardy potentials.