In this paper, we consider the so-called Toda System in planar domains under Dirichlet boundary condition. We show the existence of continua of solutions for which one component is blowing-up at a certain number of points. The proofs use singular perturbation methods.
D'Aprile, T.c., Pistoia, A., Ruiz, D. (2015). A continuum of solutions for the SU(3) Toda System exhibiting partial blow-up. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 111(4), 797-830 [10.1112/plms/pdv042].
A continuum of solutions for the SU(3) Toda System exhibiting partial blow-up
D'APRILE, TERESA CARMEN;
2015-01-01
Abstract
In this paper, we consider the so-called Toda System in planar domains under Dirichlet boundary condition. We show the existence of continua of solutions for which one component is blowing-up at a certain number of points. The proofs use singular perturbation methods.File in questo prodotto:
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