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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Format: | Article |
Language: | English |
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Texas State University
2018-02-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2018/41/abstr.html |