We prove the existence of a pair of positive radial solutions for the Neumann boundary value problem div(∇u/sqrt(1-|∇u|^2))+λa(|x|)u^p=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 ∫_B a(|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

Feltrin, Guglielmo
2020-01-01

Abstract

We prove the existence of a pair of positive radial solutions for the Neumann boundary value problem div(∇u/sqrt(1-|∇u|^2))+λa(|x|)u^p=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 ∫_B a(|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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/1177380
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