A bifurcation-type theorem for singular nonlinear elliptic equations
By Nikolaos S. Papageorgiou, G. Smyrlis. 2015
51 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/41b7111e64622bd67715b49ced106bf54b2b7e6c
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
- Dušan D. Repovš
- Vicentiu D. Rădulescu
- Nikolaos S. Papageorgiou
- Patrick Winkert
- Leszek Gasinski
- V. Ruadulescu
- Binlin Zhang
- Zhijun Zhang
In Computational Theory and Mathematics
- Dušan D. Repovš
- Vicentiu D. Rădulescu
- Nikolaos S. Papageorgiou
- Patrick Winkert
- Leszek Gasinski
- V. Ruadulescu
- Anouar Bahrouni
- Zhijun Zhang
In Mathematical Physics
- Dušan D. Repovš
- Vicentiu D. Rădulescu
- Nikolaos S. Papageorgiou
- Patrick Winkert
- Leszek Gasinski
- Zuodong Yang
Citations in the corpus
- Positive solutions for nonlinear parametric singular Dirichlet problems (2018, unknown): “) into C1 0(Ω) (that is, if 0 < ϑ<λ, then u˜ϑ 6 u˜λ) and ||˜uλ||C1 0(Ω) →0 as λ→0+. Proof. The existence of a unique solution ˜uλ ∈intC+ follows from Proposition 5 of Papageorgiou & Smyrlis [18]. Let 0 <ϑ<λand let ˜uϑ,u˜λ ∈intC+ be the corresponding unique solutions of problem (Auλ).”
- Nonlinear nonhomogeneous singular problems (2019, methodology): “oblems can also be found in the papers of Lair & Shaker [21], Sun, Wu & Long [41] (semilinear problems with a(y) = y) and by Giacomoni, Schindler & Takaˇc [17], Papageorgiou & Smyrlis [36] (nonlinear problems with a(y) = |y|p−2y). In all the aforementioned works the singular term has”
- Positive solutions for nonlinear Neumann problems with singular terms and convection (2020, methodology): “For singular problems, we mention the works of Giacomoni, Schindler & Takac [7], Hirano, Saccon & Shioji [1], Papageorgiou & Rădulescu [16], Papageorgiou, Rădulescu & Repovš [19, 21], Papageorgiou & Smyrlis [22, 23], Perera & Zhang [24], and Su, Wu & Long [27].”