On Kirchhoff type problems involving critical and singular nonlinearities

• Autorzy: Chun-Yu Lei , Chang-Mu Chu , Hong-Min Suo , Chun-Lei Tang
• Języki publikacji: EN

Abstrakty

EN

In this paper, we are interested in multiple positive solutions for the Kirchhoff type problem
⎧$-(a + b∫_{Ω} |∇u|²dx)Δu = u⁵ + λ u^{q-1}/|x|^{β}$ in Ω
⎨
⎩ u = 0 on ∂Ω,
where Ω ⊂ ℝ³ is a smooth bounded domain, 0∈Ω, 1 < q < 2, λ is a positive parameter and β satisfies some inequalities. We obtain the existence of a positive ground state solution and multiple positive solutions via the Nehari manifold method.

Kategorie tematyczne

• 35A15: Variational methods
• 35R09: Integro-partial differential equations
• 35B09: Positive solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 114
• Numer: 3
• Strony: 269-291

Daty

wydano

2015

Twórcy

autor

Chun-Yu Lei

• School of Sciences, GuiZhou Minzu University, 550025 Guiyang, China

autor

Chang-Mu Chu

• School of Sciences, GuiZhou Minzu University, 550025 Guiyang, China

autor

Hong-Min Suo

• School of Sciences, GuiZhou Minzu University, 550025 Guiyang, China

autor

Chun-Lei Tang

• School of Mathematics and Statistics, Southwest University, 400715 Chongqing, China

Identyfikatory

DOI

10.4064/ap114-3-5