Abstract
Abstract In this paper we study a semilinear elliptic problem on a bounded domain in ℝ2 with large exponent in the nonlinear term. We consider positive solutions obtained by minimizing suitable functionals. We prove some asymptotic estimates which enable us to associate a “limit problem” to the initial one. Using these estimates we prove some qualitative properties of the solutions, namely characterization of the level sets and nondegeneracy.
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