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• # Artykuł - szczegóły

## Annales Polonici Mathematici

2013 | 109 | 3 | 297-310

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

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.

297-310

wydano
2013

### Twórcy

autor
• Department of Mathematics, Nantong University, 226007, Nantong, P.R. China
autor
• Department of Mathematics, Nantong University, 226007, Nantong, P.R. China
autor
• College of Mathematics and, Information Science, North China University of, Water Resources and Electric Power, 450011, Zhengzhou, P.R. China