On the lower semicontinuity of certain integrals of the calculus of variations
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Publication:919260
DOI10.1016/0022-247X(89)90368-5zbMath0706.49011MaRDI QIDQ919260
Publication date: 1989
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (2)
On the nonparametric integral over a bv surface ⋮ The nonparametric Weierstrass integral over a BV curve as a length functional
Cites Work
- On convergence in area in the generalized sense
- The nonparametric integral of the calculus of variations as a Weierstrass integral: existence and representation
- The nonparametric integral of the calculus of variations as a Weierstrass integral. II: Some applications
- Sulla convergenza in lunghezza in senso generalizzato con peso per una successione di curve parametriche
- Nonlinear integration and Weierstrass integral over a manifold, connections with theorems on martingales
- A quasi-additivity type condition and the integral over a BV variety
- Integrale di Burkill-Cesari e legami con l'assoluta continuita
- Existence theorems concerning simple integrals of the calculus of variations for discontinuous solutions
- Sufficient conditions for semicontinuous surface integrals
- The Burkill-Cesari integral
- Burkill-Cesari integrals of quasi additive interval functions
- On the nonparametric integral over a bv surface
- Semicontinuity of Integrals
- Quasi Additive Set Functions and the Concept of Integral Over a Variety
- Extension Problem for Quasi Additive Set Functions and Radon-Nikodym Derivatives
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