Boundary blow-up solutions for a cooperative system involving the p-Laplacian

• Autorzy: Li Chen , Yujuan Chen , Dang Luo
• Języki publikacji: EN

Abstrakty

EN

We study necessary and sufficient conditions for the existence of nonnegative boundary blow-up solutions to the cooperative system $Δ_p u = g(u-αv), Δ_p v = f(v-βu)$ in a smooth bounded domain of $ℝ^N$, where $Δ_p$ is the p-Laplacian operator defined by $Δ_p u = div(|∇u|^{p-2} ∇u)$ with p > 1, f and g are nondecreasing, nonnegative C¹ functions, and α and β are two positive parameters. The asymptotic behavior of solutions near the boundary is obtained and we get a uniqueness result for p = 2.

Kategorie tematyczne

• 35J57: Boundary value problems for second-order elliptic systems
• 35B40: Asymptotic behavior of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 109
• Numer: 3
• Strony: 297-310

Daty

wydano

2013

Twórcy

autor

Li Chen

• Department of Mathematics, Nantong University, 226007, Nantong, P.R. China

autor

Yujuan Chen

• Department of Mathematics, Nantong University, 226007, Nantong, P.R. China

autor

Dang Luo

• College of Mathematics and, Information Science, North China University of, Water Resources and Electric Power, 450011, Zhengzhou, P.R. China

Identyfikatory

DOI

10.4064/ap109-3-5