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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...

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Detalles Bibliográficos
Autores principales: Lu, Feng-Yun, Deng, Gui-Qian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
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

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