An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth

Lederman, Claudia Beatriz; Wolanski, Noemi Irene

info:eu-repo/semantics/article

Fecha

2021-06

Registro en:

Lederman, Claudia Beatriz; Wolanski, Noemi Irene; An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth; American Institute of Mathematical Sciences; Discrete And Continuous Dynamical Systems; 41; 6; 6-2021; 2907-2946

1078-0947

http://hdl.handle.net/11336/166512

1553-5231

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4379335

Autor

Lederman, Claudia Beatriz

Wolanski, Noemi Irene

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

We consider an optimization problem with volume constraint for an energy functional associated to an inhomogeneous operator with nonstandard growth. By studying an auxiliary penalized problem, we prove existence and regularity of solution to the original problem: every optimal configuration is a solution to a one phase free boundary problem-for an operator with nonstandard growth and non-zero right hand side-and the free boundary is a smooth surface.

Materias

FREE BOUNDARY PROBLEM

INHOMOGENEOUS PROBLEM

MINIMIZATION PROBLEM

NONSTANDARD GROWTH

OPTIMAL DESIGN

REGULARITY OF THE FREE BOUNDARY

SHAPE OPTIMIZATION

VARIABLE EXPONENT SPACES

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