On the semicontinuity and the relaxation for integrals with respect to the Lebesgue measure added to integrals with respect to a Radon measure

DOI10.1007/BF01773922zbMath0642.49008OpenAlexW1971515870MaRDI QIDQ1101674

Antonio Leaci, Michele Carriero, Eduardo Pascali

Publication date: 1987

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01773922

zbMATH Keywords

capacityrelaxationsemicontinuityRadon measureobstacles

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Integration with respect to measures and other set functions (28A25) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (4)

Functions locally almost 1-harmonic ⋮ Some Existence Results on Nontrivial Solutions of the Prescribed Mean Curvature Equation ⋮ The De Giorgi measure and an obstacle problem related to minimal surfaces in metric spaces ⋮ On a sub-supersolution method for the prescribed mean curvature problem

Cites Work

• Inequations variationnelles avec obstacles et espaces fonctionnels en theorie du potentiei
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