Variational problems with several volume constraints on the level sets

DOI10.1007/s005260100103zbMath0995.49003OpenAlexW1539091937MaRDI QIDQ1601058

Paolo Tilli, Sun-ra J. N. Mosconi

Publication date: 17 June 2002

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260100103

zbMATH Keywords

regularityintegral functionalsminimizersEuler equationHölder continuitylevel setsPoincaré-Sobolev inequalityvolume constraints

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

On a variational problem with non-differentiable constraints ⋮ Local minimizers of functionals with multiple volume constraints ⋮ On a constrained variational problem in the vector-valued case ⋮ Abstract variational problems with volume constraints

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