Fetching the paper…
Reading the bibliography…
The main result of this paper is a proof of the continuity of a family of integral functionals defined on the space of functions of bounded variation with respect to a topology under which smooth functions are dense.
A new definition of the integral for nonparametric problems in the calculus of variations
J. Serrin · 1959
Earlier work this paper cites.
On the definition and properties of certain variational integrals
J. Serrin · 1961
Earlier work this paper cites.
A relation between pointwise convergence of functions and convergence of functionals
H. Brézis and E. Lieb · 1983
Earlier work this paper cites.
The concentration-compactness principle in the calculus of variations. The limit case. I
P.-L. Lions · 1985
Earlier work this paper cites.
Harmonic maps with defects
H. Brézis, J.-M. Coron and E. Lieb · 1986
Earlier work this paper cites.
Weak convergence methods for nonlinear partial differential equations
L. C. Evans · 1990
Earlier work this paper cites.
Variational integrals on mappings of bounded variation and their lower semicontinuity
P. Aviles and Y. Giga · 1991
Earlier work this paper cites.
Lower semicontinuity and continuity of functions of measures with respect to the strict convergence
S. Delladio · 1991
Cited alongside, same era.
Measure theory and fine properties of functions
L. C Evans and R. F Gariepy · 1992
Cited alongside, same era.
Functions of Bounded Variation and Free-Discontinuity Problems
L. Ambrosio, N. Fusco, and D. Pallara · 2000
Cited alongside, same era.
Convex variational problems
M. Bildhauer · 2003
Cited alongside, same era.
Strict convergence and minimal liftings in BV \mathrm{BV}
R. L. Jerrard and N. Jung · 2004
Cited alongside, same era.
On L 1 \mathrm{L}^{1} -lower semicontinuity in BV
V. De Cicco, N. Fusco and A. Verde · 2005
Cited alongside, same era.
Direct Methods in the Calculus of Variations
B. Dacorogna · 2008
Later among the works it cites.
The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity
B. Dacorogna and P. Maréchal · 2008
Later among the works it cites.
Relaxation of signed integral functionals in BV
J. Kristensen and F. Rindler · 2010
Later among the works it cites.
Functional analysis, Sobolev spaces and partial differential equations
H. Brezis · 2011
Later among the works it cites.
Simple proofs of some results of Reshetnyak
D. Spector · 2011
Later among the works it cites.
Lower semicontinuity and Young measures in BV without Alberti’s Rank-One Theorem
F. Rindler · 2012
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
A relaxation result in BV for integral functionals with discontinuous integrands
M. Amar, V. De Cicco, and N. Fusco · 2007
Cited alongside, same era.
On the relaxation in BV ( Ω , 𝐑 m ) {\rm BV}(\Omega;{\bf R}^{m}) of
L. Ambrosio and G. Dal Maso
Cited in the paper.
Integral representations of relaxed functionals on BV ( ℝ n , ℝ k ) \mathrm{BV}(\mathbb{R}^{n},\mathbb{R}^{k}) and polyhedral approximation
L. Ambrosio and D. Pallara
Cited in the paper.
Integral representation on BV ( Ω ) {\rm BV}(\Omega) of Γ \Gamma -limits of variational integrals
G. Dal Maso
Cited in the paper.
Relaxation of quasiconvex functionals in BV ( Ω , 𝐑 p ) {\rm BV}(\Omega,{\bf R}^{p}) for integrands f ( x , u , ∇ u ) f(x,u,\nabla u)
I. Fonseca and S. Müller
Cited in the paper.
Later among the works it cites.