Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions

A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations

Jürgen Moser · Communications on Pure and Applied Mathematics · 1960 · 789 citations

Natural Sciences, Mathematics, Differential Equations +7

On the regularity of the minima of variational integrals

Mariano Giaquinta, Enrico Giusti · Acta Mathematica · 1982 · 493 citations · Full text

Natural Sciences, Mathematics, Stochastic Processes +7

Growth conditions and regularity, a counterexample

Mariano Giaquinta · manuscripta mathematica · 1987 · 213 citations

Social Sciences, Economics, Microeconomics +5

On the definition and the lower semicontinuity of certain quasiconvex integrals

Paolo Marcellini · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 1986 · 204 citations · Full text

Natural Sciences, Art History, Interior Construction +4

Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals

Paolo Marcellini · manuscripta mathematica · 1985 · 201 citations

Natural Sciences, Computational Engineering, Finite Element Analysis +11