IJPAM: Volume 51, No. 1 (2009)
QUALITATIVE PROPERTIES OF INTEGRO-EXTREMAL
MINIMIZERS OF NON-HOMOGENEOUS
SCALAR FUNCTIONALS
MINIMIZERS OF NON-HOMOGENEOUS
SCALAR FUNCTIONALS
Sandro Zagatti
Department of Functional Analysis
International School for Advanced Studies - ISAS (SISSA)
Via Beirut 2/4, Grignano (TS), I-34014, ITALY
e-mail: zagatti@sissa.it
Department of Functional Analysis
International School for Advanced Studies - ISAS (SISSA)
Via Beirut 2/4, Grignano (TS), I-34014, ITALY
e-mail: zagatti@sissa.it
Abstract.We study the properties of the integro-extremal minimizers of functionals of the form

We give a well posedness result and discuss the viscosity properties associated to the solution of the minimum problem in the non convex case.
Received: January 18, 2009
AMS Subject Classification: 49J45, 49K40, 49L25
Key Words and Phrases: integro-extremal minimizers of functionals, viscosity properties, minimum problem
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 51
Issue: 1