Existence Results for Quasilinear Elliptic Equations with Indefinite Weight
We provide the existence of a solution for quasilinear elliptic equation −div(𝑎∞(𝑥)|∇𝑢|𝑝−2∇𝑢+̃𝑎(𝑥,|∇𝑢|)∇𝑢)=𝜆𝑚(𝑥)|𝑢|𝑝−2𝑢+𝑓(𝑥,𝑢)+ℎ(𝑥) in Ω under the Neumann boundary condition. Here, we consider the condition that ̃𝑎(𝑥,𝑡)=𝑜(𝑡𝑝−2) as 𝑡→+∞ and 𝑓(𝑥,𝑢)=𝑜(|𝑢|𝑝−1) as |𝑢|→∞. As a special case, our result imp...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/568120 |
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