The Neumann Problem for a Degenerate Elliptic System Near Resonance
This paper studies the following system of degenerate equations -divpx∇u+qxu=αu+βv+g1x,v+h1x, x∈Ω, -div(p(x)∇v)+q(x)v=βu+αv+g2(x,u)+h2(x), x∈Ω, ∂u/∂ν=∂v/∂ν=0, x∈∂Ω. Here Ω⊂Rn is a bounded C2 domain, and ν is the exterior normal vector on ∂Ω. The coefficient function p may vanish in Ω¯, q∈Lr(Ω) with...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/2925065 |