We consider a sequence of solutions u(n) of the problem -Delta u = lambda e(u) in Omega, u = 0 on partial derivative Omega, with lambda = {lambda(n)}(n is an element of N) and blowing up at rri points kappa(1),.., kappa(m) in Omega. Under some non-degeneracy assumption on some suitable finite-dimensional function (related to kappa(1), . . ., kappa(m)) we show that u(n) is non-degenerate for n large enough.
Asymptotic non-degeneracy of the multiple blow-up solutions to the Gel'fand problem in two space dimensions / Grossi, Massimo; H., Ohtsuka; T., Suzuki. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - 16:1-2(2011), pp. 145-164.
Asymptotic non-degeneracy of the multiple blow-up solutions to the Gel'fand problem in two space dimensions
GROSSI, Massimo;
2011
Abstract
We consider a sequence of solutions u(n) of the problem -Delta u = lambda e(u) in Omega, u = 0 on partial derivative Omega, with lambda = {lambda(n)}(n is an element of N) and blowing up at rri points kappa(1),.., kappa(m) in Omega. Under some non-degeneracy assumption on some suitable finite-dimensional function (related to kappa(1), . . ., kappa(m)) we show that u(n) is non-degenerate for n large enough.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
