On the Spaces Lp(x)(Ω) and Wm,p(x)(Ω)

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

Variational Methods for the Study of Nonlinear Operators

E. H. Rothe, M. M. Vaĭnberg, L. M. Kantorovich et al. · American Mathematical Monthly · 1966 · 842 citations

Natural Sciences, Mathematics, Computational Mechanics +12

A class of De Giorgi type and Hölder continuity

Xianling Fan, Dun Zhao · Nonlinear Analysis · 1999 · 256 citations · Full text

Natural Sciences, Mathematics, Topology +4

The quasi-minimizer of integral functionals with m(x) growth conditions

Xianling Fan, Dun Zhao · Nonlinear Analysis · 2000 · 76 citations · Full text

Natural Sciences, Mathematics, Optimization +11

The regularity of Lagrangiansf(x, ξ)=254-01254-01254-01with Hölder exponents α(x)

Xianling Fan · Acta Mathematica Sinica English Series · 1996 · 26 citations

Natural Sciences, Physics, Mathematical Physics +6