Ambrosetti-Prodi problem with degenerate potential and Neumann boundary condition

We study the degenerate elliptic equation $$ -\hbox{div}(|x|^\alpha\nabla u) =f(u)+t\phi(x)+h(x) $$ in a bounded open set $\Omega$ with homogeneous Neumann boundary condition, where $\alpha\in(0,2)$ and f has a linear growth. The main result establishes the existence of real numbers $t_*$ and...

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Bibliographic Details
Main Author: Dusan D. Repovs
Format: Article
Language:English
Published: Texas State University 2018-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/41/abstr.html