Thursday June 3, 15:00 – 18:30 |
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"Entire solutions of quasilinear elliptic inequalities"
Coordinated by Patrizia Pucci – Università di Perugia
Speakers:
Lorenzo D'Ambrosio – Università di Bari Roberta Filippucci – Università di Perugia Enzo Mitidieri – Università di Trieste Dimitri Mugnai – Università di Perugia Marco Rigoli – Università di Milano James Serrin – University of Minnesota Summary: In this session several very significant existence and nonexistence results, recently obtained by the three experts, will be presented for coercive and not coercive problems.
Interesting open questions will animate the discussion, as well as applications to Riemannian geometry and fluids theory, including the capillarity equation with varying gravitational field h, as well as the general p-Poisson equation of radiative cooling with varying heat conduction coefficient g and varying radiation coefficient h. |
Friday June 4, 9:30 – 13:00 |
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"Concentration phenomena in nonlinear elliptic equations"
Coordinated by Monica Musso – Universidad Católica de Chile
Speakers:
Pierpaolo Esposito – Università di Roma Tre Marta Nolasco – Università de L'Aquila Frank Pacard – Université Paris 12 Bernhard Ruf – Università di Milano
Summary: In this seccion we will present new applications of the well known method of the Liapunov-Schmidt reduction, or finite-dimensional reduction, in the construction of unexpected solutions to some classical semilinear elliptic problems. These results cover for instance the cases of multi peak solutions for non linear Trudinger-Moser critical equations in bounded domains of the real plane, time-dependent solutions for non linear Schrodinger equations, entire positive finite energy solutions for stationary Schrodinger equation in the n-dimensional space, and sign-changing solutions for conformally invariant equations on the n-dimensional sphere, among others.
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Saturday June 5, 9:30 – 13:00 |
"Some problems in RN"
Coordinated by Giovanna Cerami – Politecnico di Bari
Speakers:
Riccardo Molle – Università di Roma “Tor Vergata” Luca Rossi – Università di Padova David Ruiz – Universidad de Granada
Summary: In this section some results and research perspectives for some problems in RN will be discussed. The questions focused are the following:
a) existence and multiplicity of positive solutions for Schrödinger non autonomous equations;
b) existence of positive solutions for Schrödinger and Schrödinger-Poisson systems;
c) extension of the classical definition of principal eigenvalue of the Laplace operator to the case in which it acts on functions defined in all RN.
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Saturday June 5, 15:00 – 18:30 |
"Topological methods in nonlinear boundary value problems"
Coordinated by Anna Capietto – Università di Torino
Speakers:
Walter Dambrosio – Università di Torino Rafael Ortega – Universidad de Granada Jacobo Pejsachowicz – Politecnico di Torino Enrico Priola – Università di Torino
Summary: The session is an opportunity to illustrate existence and multiplicity results for the periodic and the Dirichlet boundary value problem associated to some ordinary, partial and stochastic differential equation. The methods range from Leray-Schauder theory and bifurcation theory to Malliavin calculus.
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Sunday June 6, 9:30 – 13:00 |
"Variational problems in mathematical physics"
Coordinated by Lia Bronsard – McMaster University
Speakers:
Tiziana Giorgi – New Mexico State University Sylvia Serfaty – Courant Institute of Mathematical Sciences Gabriella Tarantello – Università di Roma Tor Vergata
Summary: In this session, we will hear experts present innovative analytical and variational methods used to understand physical and mathematical phenomena arising in physics. An important role will be played by topological singularities, such as vortex points or line singularities, which characterize the equilibria and dynamics of solutions in Ginzburg-Landau and other gauge field models.
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