Mountain pass type solutions and positivity of the infimum eigenvalue for quasilinear elliptic equations with variable exponents

Variable Exponent, Linear Growth Functionals in Image Restoration

Yunmei Chen, Stacey Levine, Murali Rao · SIAM Journal on Applied Mathematics · 2006 · 1.6K citations

Arts, Radiology, Biomedical Imaging +16

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

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

Natural Sciences, Mathematics, Topology +5

On the Spaces Lp(x)(Ω) and Wm,p(x)(Ω)

Xianling Fan, Dun Zhao · Journal of Mathematical Analysis and Applications · 2001 · 1.6K citations · Full text

Natural Sciences, Mathematics, Probability Theory +10

Regularity for a more general class of quasilinear elliptic equations

Peter Tolksdorf · Journal of Differential Equations · 1984 · 1.5K citations

Computing, Computational Engineering, Finite Element Methods +10

Existence of solutions for p(x)-Laplacian Dirichlet problem

Xianling Fan, Qihu Zhang · Nonlinear Analysis · 2002 · 820 citations · Full text

Natural Sciences, Mathematics, Physics +11