The Fundamental Convergence Theorem for p(·)-Superharmonic Functions

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

Maximal function on generalized Lebesgue spaces L^p(⋅)

Lars Diening · Mathematical Inequalities & Applications · 2004 · 549 citations · Full text

Regularity Results for a Class of Functionals with Non-Standard Growth

E. Acerbi, Giuseppe Mingione · Archive for Rational Mechanics and Analysis · 2001 · 531 citations

Generalized Function, Regularity Results, Functional Analysis +1

On Lavrentiev's Phenomenon.

Zhikov · Russian Journal of Mathematical Physics · 1995 · 430 citations

French, Poisson Boundary

A class of De Giorgi type and Hölder continuity

Xianling Fan, Dun Zhao · Nonlinear Analysis · 1999 · 250 citations · Full text

Integral Geometry, Engineering, Generalized Function +3