We study the asymptotic behavior of radial solutions for a singularly perturbed semilinear elliptic Dirichlet problem on an annulus. We show that Morse index informations on such solutions provide a complete description of the blow-up behavior. As a by-product, we exhibit some sufficient conditions to guarantee that radial ground state solutions blow-up and concentrate at the inner/outer boundary of the annulus.
Esposito, P., Mancini, G., Santra, S., Srikanth, P.N. (2007). Asymptotic behavior of radial solutions for a semilinear elliptic problem on an annulus through Morse index. JOURNAL OF DIFFERENTIAL EQUATIONS, 239(1), 1-15 [10.1016/j.jde.2007.04.008].
Asymptotic behavior of radial solutions for a semilinear elliptic problem on an annulus through Morse index
ESPOSITO, PIERPAOLO;
2007-01-01
Abstract
We study the asymptotic behavior of radial solutions for a singularly perturbed semilinear elliptic Dirichlet problem on an annulus. We show that Morse index informations on such solutions provide a complete description of the blow-up behavior. As a by-product, we exhibit some sufficient conditions to guarantee that radial ground state solutions blow-up and concentrate at the inner/outer boundary of the annulus.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
