A Multiplicity Result for Quasilinear Problems with Nonlinear Boundary Conditions in Bounded Domains
We study the following quasilinear problem with nonlinear boundary condition −Δ𝑝𝑢−𝜆𝑎(𝑥)𝑢|𝑢|𝑝−2=𝑏(𝑥)𝑢|𝑢|𝛾−2, in Ω and (1−𝛼)|∇𝑢|𝑝−2(𝜕𝑢/𝜕𝑛)+𝛼𝑢|𝑢|𝑝−2=0, on 𝜕Ω, where Ω⊆𝑅𝑁 is a connected bounded domain with smooth boundary 𝜕Ω, the outward unit normal to which is denoted by 𝑛. Δ𝑝 is the 𝑝-Laplcian ope...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/419341 |
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