Elliptic equations and systems with nonstandard growth conditions: Existence, uniqueness and localization properties of solutions
By Stanislav N. Antontsev, S. Shmarev. 2006
129 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/d884baba1403cbc8b9738d0075c74b53ef9ab399
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
- Vicentiu D. Rădulescu
- P. Hasto
- Petteri Harjulehto
- Stanislav N. Antontsev
- Qihu Zhang
- S. Shmarev
- Matti Nuortio
- Ut V. Le
In Computational Theory and Mathematics
- Vicentiu D. Rădulescu
- P. Hasto
- Stanislav N. Antontsev
- Qihu Zhang
- Petteri Harjulehto
- S. Shmarev
- Michel Chipot
- Matti Nuortio
In Mathematical Physics
- Vicentiu D. Rădulescu
- Stanislav N. Antontsev
- S. Shmarev
- P. Hasto
- Qihu Zhang
- Petteri Harjulehto
- Matti Nuortio
- Ut V. Le
Citations in the corpus
- MAXIMAL FUNCTIONS IN VARIABLE EXPONENT SPACES: LIMITING CASES OF THE EXPONENT (2009, unknown): “[6, 11, 16, 28, 30], with related dierential equations [1, 3 , 14, 15, 31, 40, 41], and with applications [4, 37].”
- Overview of differential equations with non-standard growth (2010, background): “[43] Antontsev, S.; Shmarev, S.: Parabolic equations with anisotropic nonstandard growth conditions.”
- Double phase anisotropic variational problems and combined effects of reaction and absorption terms (2018, background): “There are many reference papers related to the study of variational problems with variable exponent growth conditions, far from being complete, we refer the readers to [3], [8], [16–29], [32], [33], [36–38], [43], [46], [48–50], [52–55].”
- WEAK SOLUTIONS FOR ANISOTROPIC NONLINEAR ELLIPTIC EQUATIONS WITH VARIABLE EXPONENTS (2009, background): “Note that, Antontsev and Shmarev [2] studied the following problem which is quite close to (1.1): − ∑ i Di(ai(x, u))|Diu|pi(x)−2Diu+ c(x, u)|u|σ(x)−2u = F (x) in Ω u = 0 on ∂Ω, (1.7) in a bounded domain Ω ∈ RN , and elliptic systems of the same structure, − ∑ j Dj(aij(x,∇u)) = f i(x, u) in Ω, i = 1,”
- Anisotropic equations: Uniqueness and existence results (2008, background): “We refer to the recent works [2, 3],[6]-[13],[17]-[19], [24, 25] where it is possible to find some references.”
- Anisotropic parabolic equations with variable nonlinearity (2009, background): “ut = div |u| (x,t)ru +F(x,t,u,ru) are studied in papers [ 11 , 14].”