Optimization problems for eigenvalues of p-Laplace equations

MARRAS, MONICA;Porru G;PIRO, STELLA

2013-01-01

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Abstract

We study minimization and maximization problems for the principal eigenvalue of a p-Laplace equation in a bounded domain Ω, with weight χD, where D ⊂ Ω is a variable subset with a fixed measure α. We investigate monotonicity, continuity and differentiabil- ity with respect to α of the optimizing eigenvalues.