Article ID Journal Published Year Pages File Type
4633249 Applied Mathematics and Computation 2009 8 Pages PDF
Abstract

In this paper, we prove a local mountain pass theorem without (P.S)(P.S) condition. Using this theorem and Ricceri’s variational principle, we consider a double perturbed Neumann problem with nonlinear boundary condition of the form-Δp(x)u+a(x)|u|p(x)-2u=f(x,u)+λh1(x,u)inΩ,|∇u|p(x)-2∂u∂γ=g(x,u)+μh2(x,u)on∂Ω.At least seven solutions are obtained under different assumptions.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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