Minimizers of the variable exponent, non-uniformly convex Dirichlet energy
By Petteri Harjulehto, P. Hasto, Visa Latvala. 2008
138 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Mechanics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/4bd83695507967bfa5e225656e2a2f7126babe75
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Dachun Yang
- Wen Yuan
- Ciqiang Zhuo
- P. Hasto
- Jun Liu
- Petteri Harjulehto
- Yoshihiro Sawano
- Alexandre Almeida
In Computational Mechanics
- P. Hasto
- Petteri Harjulehto
- Ciqiang Zhuo
- Alexandre Almeida
- Wen Yuan
- Lars Diening
- Dachun Yang
- Jun Liu
In Computational Theory and Mathematics
- P. Hasto
- Petteri Harjulehto
- Dachun Yang
- Alexandre Almeida
- Ciqiang Zhuo
- Wen Yuan
- Tetsu Shimomura
- Y. Mizuta
Citations in the corpus
- Overview of differential equations with non-standard growth (2010, unknown): “1, [120]).”
- Local-to-global results in variable exponent spaces (2009, unknown): “[3, 4, 6, 17, 19, 22, 24, 31, 39].”
- Besov-Type Spaces with Variable Smoothness and Integrability (2015, background): “Apart from theoretical considerations, such function spaces have interesting applications in fluid dynamics [1, 57], image processing [7], partial differential equations and variational calculus [2, 20, 25, 54, 58].”
- Besov spaces with variable smoothness and integrability (2010, background): “Apart from interesting theoretical considerations, the motivation to study such function spaces comes from applications to fluid dynamics [1, 2, 34], image processing [11], PDE and the calculus of variation [3, 16, 18, 20, 28, 35, 47].”
- MAXIMAL FUNCTIONS IN VARIABLE EXPONENT SPACES: LIMITING CASES OF THE EXPONENT (2009, result): “Other recent modifications in the variable exponent case, again not covered by our results, are due to Harjulehto, Hästö and Latvala [23], Harjulehto and Hästö [22] and Diening, Hästö and Roudenko [13].”
- Anisotropic Variable Hardy-Lorentz Spaces and Their Real Interpolation (2017, background): “In addition, the theory of variable function spaces also has interesting applications in fluid dynamics [2], image processing [17], partial differential equations and variational calculus [3, 30, 40, 65].”
- Three solutions for a nonlocal Dirichlet boundary value problem involving the p(x)-Laplacian (2013, background): “Another field of application of equations with variable exponent growth conditions is image processing 5 , 6 .”