Existence of positive solutions for a class of p(x)-Laplacian systems ✩
By Qihu Zhang. 2007
61 citations recorded by the source corpus.
Abstract We mainly consider the system { − Δ p ( x ) u = λ f ( x , v ) in Ω , − Δ p ( x ) v = λ g ( x , u ) in Ω , u = v = 0 on ∂ Ω , where Ω ⊂ R N is a bounded domain, p ( x ) is a function which satisfies some conditions, − Δ p ( x ) u = − div ( | ∇ u | p ( x ) − 2 ∇ u ) is called p ( x ) -Laplacian. We give the existence of positive solutions under some conditions. In particular, we do not assume radial symmetric conditions on the system.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/a05d5b8cf1b580a30296e66d2746ae88eb0839b8
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In Applied Mathematics
- P. Hasto
- Petteri Harjulehto
- Matti Nuortio
- Ut V. Le
- Vicentiu D. Rădulescu
- Dachun Yang
- D. Cruz-Uribe
- Jan Vyb'iral
In Computational Theory and Mathematics
- P. Hasto
- Petteri Harjulehto
- Matti Nuortio
- Ut V. Le
- Vicentiu D. Rădulescu
- Giuseppe Mingione
- Alexandre Almeida
- D. Cruz-Uribe
Citations in the corpus
- Local-to-global results in variable exponent spaces (2009, unknown): “[3, 4, 6, 17, 19, 22, 24, 31, 39].”
- Overview of differential equations with non-standard growth (2010, background): “Zhang [173, 175, 178] considered systems with the following structure:”