Existence and nonexistence of solutions for a quasilinear elliptic system

• Autorzy: Qin Li , Zuodong Yang
• Języki publikacji: EN

Abstrakty

EN

By a sub-super solution argument, we study the existence of positive solutions for the system
⎧$-Δ_{p}u = a₁(x)F₁(x,u,v)$ in Ω,
⎪$-Δ_{q}v = a₂(x)F₂(x,u,v)$ in Ω,
⎨u,v > 0 in Ω,
⎩u = v = 0 on ∂Ω,
where Ω is a bounded domain in $ℝ^{N}$ with smooth boundary or $Ω = ℝ^{N}$. A nonexistence result is obtained for radially symmetric solutions.

Kategorie tematyczne

• 35J65: Nonlinear boundary value problems for linear elliptic equations
• 35J50: Variational methods for elliptic systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 113
• Numer: 2
• Strony: 155-164

Daty

wydano

2015

Twórcy

autor

Qin Li

• Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu Nanjing 210023, China

autor

Zuodong Yang

• Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu Nanjing 210023, China
• School of Teacher Education, Nanjing Normal University, Jiangsu Nanjing 210097, China

Identyfikatory

DOI

10.4064/ap113-2-3