A new class of double phase variable exponent problems: Existence and uniqueness

On spaces $L^{p(x)}$ and $W^{k, p(x)}$

Ondrej Kováčik, Jiří Rákosník · Czechoslovak Mathematical Journal · 1991 · 1.6K citations · Full text

Topological Property, Harmonic Space, Functional Analysis +1

On the Spaces Lp(x)(Ω) and Wm,p(x)(Ω)

Xianling Fan, Dun Zhao · Journal of Mathematical Analysis and Applications · 2001 · 1.5K citations · Full text

Engineering, Interpolation Space, Entropy +4

AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY

V. V. Zhikov · Mathematics of the USSR-Izvestiya · 1987 · 1.2K citations

Mathematical Programming, Nonlinear Elasticity, Engineering +11

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

Paolo Marcellini · Journal of Differential Equations · 1991 · 777 citations

Monge-ampere Equation, Elliptic Equation, Elliptic Function +3

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

Paolo Marcellini · Archive for Rational Mechanics and Analysis · 1989 · 626 citations

Variational Analysis, Generalized Function, Functional Analysis +3