EXISTENCE OF SOLUTIONS FOR GRADIENT TYPE ELLIPTIC SYSTEMS WITH LINKING METHODS

Abstract

We study the existence of nontrivial solutions of the Gradient type Dirichlet boundary value problem for elliptic systems of the form −∆U (x) = ∇F (x, U (x)),x ∈ Ω, where Ω ⊂ RN (N ≥ 1) is a bounded regular domain and U = (u, v) : Ω → R2. To study the system we use the liking theorem on product space.

This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.