ASYMPTOTIC NON-DEGENERACY OF THE MULTIPLE BLOW-UP SOLUTIONS TO THE GEL'FAND PROBLEM IN TWO SPACE DIMENSIONS

作者：Grossi Massimo^*; Ohtsuka Hiroshi; Suzuki Takashi

来源：Advances in Differential Equations, 2011, 16(1-2): 145-164.

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 related to kappa(1), . . ., kappa(m)) we show that u(n) is non-degenerate for n large enough.

• 出版日期2011-2