Cristina Tarsi - Department of Mathematics, Università degli Studi di Milano, Via Saldini 50, Milano, 20133, Italy (email)
Abstract: We consider the following boundary value problem
$ -\Delta u= g(x,u) + f(x,u)\quad x\in \Omega $
$u=0\quad x\in \partial \Omega$
where $g(x,-\xi )=-g(x,\xi)$ and $g$ has subcritical exponential growth in $\mathbb R^2$. Using the method developed by Bolle, we prove that this problem has infinitely many solutions under suitable conditions on the growth of $g(u)$ and $f(u)$.
Keywords: Perturbation from symmetry, min-max method, variational methods,
Trudinger-Moser inequality, exponential growth.
Received: May 2006; Revised: May 2007; Published: December 2007.
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