We prove the existence of a pair of positive radial solutions for the Neumann boundary value problem div([Formula presented])+λa(|x|)up=0,in B,∂νu=0,on ∂B,where B is a ball centered at the origin, a(|x|) is a radial sign-changing function with ∫Ba(|x|)dx<0, p>1 and λ>0 is a large parameter. The proof is based on the Leray–Schauder degree theory and extends to a larger class of nonlinearities.
Pairs of positive radial solutions for a Minkowski-curvature Neumann problem with indefinite weight
Boscaggin A.
;Feltrin G.
2020-01-01
Abstract
We prove the existence of a pair of positive radial solutions for the Neumann boundary value problem div([Formula presented])+λa(|x|)up=0,in B,∂νu=0,on ∂B,where B is a ball centered at the origin, a(|x|) is a radial sign-changing function with ∫Ba(|x|)dx<0, p>1 and λ>0 is a large parameter. The proof is based on the Leray–Schauder degree theory and extends to a larger class of nonlinearities.
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