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- Istituto Nazionale di Fisica Nucleare, Sezione di Roma IIT39 papers
- Istituto Nazionale di Fisica Nucleare, Roma Tor VergataIT33 papers
- Centre National de la Recherche ScientifiqueFR29 papers
- Sapienza University of RomeIT24 papers
- National Institute for AstrophysicsIT20 papers
- University of PaduaIT20 papers
- University of TriesteIT20 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PadovaIT17 papers
- Université Paris CitéFR16 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di TriesteIT15 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR14 papers
- Roma Tre UniversityIT14 papers
9 papers · 1 filter
Some elliptic PDEs on Riemannian manifolds with boundary
Yannick Sire, Enrico Valdinoci
The goal of this paper is to investigate some rigidity properties of stable solutions of elliptic equations set on manifolds with boundary. We provide several types of results, acc…
Positive and sign-changing clusters around saddle points of the potential for nonlinear elliptic problems
Teresa D'Aprile, David Ruiz
We study the existence of positive and sign-changing multipeak solutions for the stationary Nonlinear Schroedinger Equation. Here no symmetry on is assumed. It is known that th…
Quasi-potentials of the entropy functionals for scalar conservation laws
Giovanni Bellettini, Federica Caselli, Mauro Mariani
We investigate the quasi-potential problem for the entropy cost functionals of non-entropic solutions to scalar conservation laws with smooth fluxes. We prove that the quasi-potent…
Global solution and long-time behavior for a problem of phase segregation of the Allen-Cahn type
Pierluigi Colli, Gianni Gilardi, Paolo Podio-Guidugli +1
In this paper we study a model for phase segregation consisting in a sistem of a partial and an ordinary differential equation. By a careful definition of maximal solution to the l…
A fully nonlinear problem with free boundary in the plane
Daniela De Silva, Enrico Valdinoci
We prove that bounded solutions to an overdetermined fully nonlinear free boundary problem in the plane are one dimensional. Our proof relies on maximum principle techniques and co…
On the Allen-Cahn equation in the Grushin plane: a monotone entire solution that is not one-dimensional
Isabeau Birindelli, Enrico Valdinoci
We consider solutions of the Allen-Cahn equation in the whole Grushin plane and we show that if they are monotone in the vertical direction, then they are stable and they satisfy a…