4 citations · 9 across the 6 of their papers we have counts for
6 papers
Qualitative Properties of Solutions of Semilinear Elliptic Systems
Marta Calanchi, Bernhard Ruf
The article explores the qualitative properties of solutions to elliptic equations and systems, focusing particularly on whether solutions retain the symmetry of their domains. Acc…
Positive eigenvectors and simple nonlinear maps
Marta Calanchi, Carlos Tomei
For linear operators and nonlinear maps , we describe classes of simple maps , between Banach and Hilbert spaces, for which no point has more tha…
Global folds between Banach spaces as perturbations
Marta Calanchi, Carlos Tomei, André Zaccur
Global folds between Banach spaces are obtained from a simple geometric construction: a Fredholm operator of index zero with one dimensional kernel is perturbed by a compatible…
Abundance of cusps and a converse to the Ambrosetti-Prodi theorem
Marta Calanchi, Carlos Tomei, André Zaccur
According to the Ambrosetti-Prodi theorem, the map between appropriate functional spaces is a global fold. Among the hypotheses, the convexity of the function $…
Fibers and global geometry of functions
Marta Calanchi, Carlos Tomei, Andre Zaccur
Since the seminal work of Ambrosetti and Prodi, the study of global folds was enriched by geometric concepts and extensions accomodating new examples. We present the advantages of…
Multiple Solutions for a Henon-Like Equation on the Annulus
Marta Calanchi, Simone Secchi, Elide Terraneo
For the equation (-Δu = | |x|-2 |^αu^{p-1}), (1 < |x| < 3), we prove the existence of two solutions for (α) large, and of two additional solutions when (p) is close to the critical…