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October 2020 Ambrosetti–Prodi type results for a Neumann problem with a mean curvature operator in Minkowski spaces
Tianlan Chen, Lei Duan
Rocky Mountain J. Math. 50(5): 1627-1635 (October 2020). DOI: 10.1216/rmj.2020.50.1627

Abstract

This paper is concerned with the existence and multiplicity of solutions for the following Neumann problems with mean curvature operator in the Minkowski space:

( u 1 u 2 ) + a ( x ) g ( u ) = μ + p ( x ) , x ( 0 , T ) , u ( 0 ) = 0 = u ( T ) ,

where a,pL(0,T), μ, and gC1() satisfies the coercivity condition g(u)+ as |u|+. We show the existence results of two solutions in terms of the value of the parameter μ via the shooting method.

Citation

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Tianlan Chen. Lei Duan. "Ambrosetti–Prodi type results for a Neumann problem with a mean curvature operator in Minkowski spaces." Rocky Mountain J. Math. 50 (5) 1627 - 1635, October 2020. https://doi.org/10.1216/rmj.2020.50.1627

Information

Received: 17 February 2020; Revised: 8 April 2020; Accepted: 21 April 2020; Published: October 2020
First available in Project Euclid: 5 November 2020

zbMATH: 07274824
MathSciNet: MR4170676
Digital Object Identifier: 10.1216/rmj.2020.50.1627

Subjects:
Primary: 34B15, 34B16

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 5 • October 2020
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