Get started
Keyword

variable exponent

Description: An exponent that varies with position or another independent variable, commonly appearing in nonlinear differential equations and function spaces.
OpenAlex ID: keywords/variable-exponent
Lebesgue and Sobolev Spaces with Variable Exponents
2011 · Lars Diening, Petteri Harjulehto, et al. · Lecture notes in mathematics · 2,478
Weighted Norm Inequalities and Related Topics
1985 · North-Holland mathematics studies · 1,773
On spaces $L^{p(x)}$ and $W^{k, p(x)}$
1991 · Ondrej Kováčik, Jiří Rákosník · Czechoslovak Mathematical Journal · 1,658
PDF
On the Spaces Lp(x)(Ω) and Wm,p(x)(Ω)
2001 · Xianling Fan, Dun Zhao · Journal of Mathematical Analysis and Applications · 1,633
Variable Exponent, Linear Growth Functionals in Image Restoration
2006 · Yunmei Chen, Stacey Levine, et al. · SIAM Journal on Applied Mathematics · 1,632
Lebesgue and Sobolev Spaces with Variable Exponents
2015 · Vicentiu D. Radulescu, Dusan D. Repovs · Chapman & Hall/CRC eBooks · 1,069
Variable Lebesgue Spaces
2013 · David V. Cruz-Uribe, Alberto Fiorenza · Applied and numerical harmonic analysis · 882
Existence of solutions for p(x)-Laplacian Dirichlet problem
2002 · Xian-Ling Fan, Qi-Hu Zhang · Nonlinear Analysis · 839
Regularity and existence of solutions of elliptic equations with p,q-growth conditions
1991 · Paolo Marcellini · Journal of Differential Equations · 816
PDF
Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions
1989 · Paolo Marcellini · Archive for Rational Mechanics and Analysis · 656
Regularity Results for Stationary Electro-Rheological Fluids
2002 · Emilio Acerbi, Giuseppe Mingione · Archive for Rational Mechanics and Analysis · 638
Sobolev Embedding Theorems for Spaces Wk,p(x)(Ω)
2001 · Xianling Fan, Jishen Shen, et al. · Journal of Mathematical Analysis and Applications · 621
Sobolev embeddings with variable exponent
2000 · David Edmunds, Jiří Rákosník · Studia Mathematica · 588
PDF
Regularity Results for a Class of Functionals with Non-Standard Growth
2001 · Emilio Acerbi, Giuseppe Mingione · Archive for Rational Mechanics and Analysis · 535
Regularity for general functionals with double phase
2018 · Paolo Baroni, Maria Colombo, et al. · Calculus of Variations and Partial Differential Equations · 499
Partial Differential Equations with Variable Exponents
2015 · Vicentiu D. Radulescu, Dusan D. Repovs · Chapman & Hall/CRC eBooks · 425
Eigenvalues of p(x)-Laplacian Dirichlet problem
2004 · Xianling Fan, Qihu Zhang, et al. · Journal of Mathematical Analysis and Applications · 419
Variable Lebesgue Spaces: Foundations and Harmonic Analysis
2013 · David Cruz-Uribe, Alberto Fıorenza · 416
Gradient estimates for the p ( x )-Laplacean system
2005 · Emilio Acerbi, Giuseppe Mingione · Journal für die reine und angewandte Mathematik (Crelles Journal) · 416
Global C1,α regularity for variable exponent elliptic equations in divergence form
2007 · Xianling Fan · Journal of Differential Equations · 327
PDF
Regularity for minimizers for functionals of double phase with variable exponents
2019 · Maria Alessandra Ragusa, Atsushi Tachikawa · Advances in Nonlinear Analysis · 316
Overview of differential equations with non-standard growth
2010 · Petteri Harjulehto, Peter Hästö, et al. · Nonlinear Analysis · 313
Interpolation of Operators with Change of Measures
1958 · E. M. Stein, G. Weiss · Transactions of the American Mathematical Society · 312
PDF
Maximal function on Musielak–Orlicz spaces and generalized Lebesgue spaces
2005 · Lars Diening · Bulletin des Sciences Mathématiques · 311
PDF
The maximal function on variable spaces.
2003 · David Cruz-Uribe, A. Firorenza, et al. · Annales Academiae Scientiarum Fennicae Mathematica · 308
Works count: 5,817
Citation count: 68,440
Year
Topic
Type