Spectral partition problems with volume and inclusion constraints

DOI10.1137/23m161553xMaRDI QIDQ6641704

Makson S. Santos, Ederson Moreira dos Santos, Pêdra D. S. Andrade, Hugo Tavares

Publication date: 21 November 2024

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

shape optimizationfirst eigenvalueregularity of solutionsmultiphase problemsoptimal open partition

Mathematics Subject Classification ID

Variational inequalities (49J40) Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Existence of solutions for minimax problems (49J35) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Optimization of shapes other than minimal surfaces (49Q10)

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