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Differential and Integral Equations
Using a fixed-point theorem of cone expansion/compression type, we show the existence of at least... more Using a fixed-point theorem of cone expansion/compression type, we show the existence of at least three positive radial solutions for the class of quasi-linear elliptic systems -Δ p u=λk 1 (|x|)f(u,v), -Δ q v=λk 2 (|x|)g(u,v) in Ω, (u,v)=(a,b) on ∂Ω, where the nonlinearities f,g are superlinear at zero and sublinear at ∞. The parameters λ,a and b are positive, Ω is the ball in ℝ N , with N≥3 of radius R 0 which is centered at the origin, 1<p,q≤2 and k 1 ,k 2 ∈C([0,R 0 ];[0,∞)).
Differential and Integral Equations
Using a fixed-point theorem of cone expansion/compression type, we show the existence of at least... more Using a fixed-point theorem of cone expansion/compression type, we show the existence of at least three positive radial solutions for the class of quasi-linear elliptic systems -Δ p u=λk 1 (|x|)f(u,v), -Δ q v=λk 2 (|x|)g(u,v) in Ω, (u,v)=(a,b) on ∂Ω, where the nonlinearities f,g are superlinear at zero and sublinear at ∞. The parameters λ,a and b are positive, Ω is the ball in ℝ N , with N≥3 of radius R 0 which is centered at the origin, 1<p,q≤2 and k 1 ,k 2 ∈C([0,R 0 ];[0,∞)).