Radial Symmetry of Minimizers for Some Variational Problems
Date: Fri, Nov 27 2009
Location: Bizkaia Technology Park, Building 500 E-48160 DERIO - Basque Country- Spain
Speakers: Orlando Lopes
We discuss the radial symmetry of minimizers of variational problems like
∫RN |∇u|2 dx + ∫RN F(u) dx
under the constraint ∫RN G(u) dx = c.
We also consider some modifications of it (the integrals are in a radially symmetric domain (ball, annulus, the exterior of a ball), F(r,u) and G(r,u) depend on the space variable in a radial way, problems without constraint.) We make a comparison among the following methods:
• Schwarz symmetrization;
• Gidas, Ni and Nirenberg;
• Reflection method;
Besides more classical results, we present recent results for nonlocal problems obtained in a joint work with M. Maris (Besan ̧con).
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