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Infinitely Many Weak Solutions of the p-Laplacian Equation with Nonlinear Boundary Conditions
We study the following p-Laplacian equation with nonlinear boundary conditions: −Δ(p) u + μ(x) | u|(p−2) u = f(x, u) + g(x, u), x ∈ Ω, | ∇u|(p−2)∂u/∂n = η | u|(p−2) u and x ∈ ∂Ω, where Ω is a bounded domain in ℝ(N) with smooth boundary ∂Ω. We prove that the equation has infinitely many weak solution...
| Autores principales: | , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
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Hindawi Publishing Corporation
2014
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3914418/ https://www.ncbi.nlm.nih.gov/pubmed/24574872 http://dx.doi.org/10.1155/2014/194310 |