IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth
Autor/es:
WOLANSKI, NOEMÍ; LEDERMAN, CLAUDIA
Lugar:
Mendoza
Reunión:
Congreso; Congreso SUMA 2019 - Segundo Encuentro Conjunto entre la Sociedad de Matemática de Chile y la Unión Matemática Argentina; 2019
Institución organizadora:
Sociedad de Matemática de Chile y la Unión Matemática Argentina,
Resumen:
We will present recent results on 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.
