Infinitely Many Weak Solutions of the p-Laplacian Equation with Nonlinear Boundary Conditions
We study the following p-Laplacian equation with nonlinear boundary conditions: -Δpu+μ(x)|u|p-2u=f(x,u)+g(x,u), x∈Ω,|∇u|p-2∂u/∂n=η|u|p-2u and x∈∂Ω, where Ω is a bounded domain in ℝN with smooth boundary ∂Ω. We prove that the equation has infinitely many weak solutions by using the variant founta...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/194310 |
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