Regularity and existence of solutions of elliptic equations with p,q-growth conditions

LINEAR AND QUASILINEAR ELLIPTIC EQUATIONS

D. E. Edmunds · Bulletin of the London Mathematical Society · 1969 · 2.1K citations

Natural Sciences, Mathematics, Differential Equations +7

AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY

V. V. Zhikov · Mathematics of the USSR-Izvestiya · 1987 · 1.3K citations

Engineering, Mathematics, Applied Mechanics +15

C1 + α local regularity of weak solutions of degenerate elliptic equations

Emmanuele DiBenedetto · Nonlinear Analysis · 1983 · 1.1K citations

Natural Sciences, Mathematics, Differential Equations +11

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

Regularity for a class of non-linear elliptic systems

Karen Uhlenbeck · Acta Mathematica · 1977 · 670 citations · Full text

Natural Sciences, Mathematics, Physics +10