Optimal partition problems involving Laplacian eigenvalues
 
 
Description:  Given a bounded domain \Omega\subseteq \RN, N\geq 2, and a positive integer m\in \N, consider the following optimal partition problem
\inf{ \sum_{i=1}^m \lambdak(\omegai): \omegai \subset \Omega open \forall i, \omegai\cap \omegaj=\emptyset whenever i\neq j},
where \lambdak(\omega) denotes the k-th eigenvalue of -\Delta in H10(\omega). Approximating this problem by a system of elliptic equations with competition terms, we show the existence of regular optimal partitions. Moreover, multiplicity of sign-changing solutions for the approximating system is obtained.
Date:  2012-03-09
Start Time:   14:30
Speaker:  Hugo Tavares (CMAF, Univ. Lisboa)
Institution:  CMAF, Univ. Lisboa
Place:  Sala 5.5
Research Groups: -Analysis
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