title: Infinitely many weak solutions of the p-Laplacian equation with nonlinear boundary conditions.
abstract: 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 solutions by using the variant fountain theorem due to Zou (2001) and f, g do not need to satisfy the (P.S) or (P.S*) condition.
authors.affiliation: Xingyi Normal University for Nationalities, Xingyi, Guizhou 562400, China ; Human Resources and Social Security Bureau, Buyi and Miao Autonomous Prefecture in Southwest Guizhou, Guizhou 562400, China.
authors.forename: Feng-Yun
authors.identifier: 0000-0003-3237-1001
authors.initials: FY
authors.lastname: Lu
authors.affiliation: Xingyi Normal University for Nationalities, Xingyi, Guizhou 562400, China.
authors.forename: Gui-Qian
authors.initials: GQ
authors.lastname: Deng
mesh_terms: D008956:Models, Chemical; D012996:Solutions / Q000737:chemistry*
chemical_list: D012996:Solutions