Artículo

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

Lederman, Claudia BeatrizIcon ; Wolanski, Noemi IreneIcon
Fecha de publicación: 06/2021
Editorial: American Institute of Mathematical Sciences
Revista: Discrete And Continuous Dynamical Systems
ISSN: 1078-0947
e-ISSN: 1553-5231
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

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.
Palabras clave: 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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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution 2.5 Unported (CC BY 2.5)
Identificadores
URI: http://hdl.handle.net/11336/166512
DOI: http://dx.doi.org/10.3934/dcds.2020391
URL: https://www.aimsciences.org/article/doi/10.3934/dcds.2020391
Colecciones
Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
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
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