Radial solutions for inhomogeneous biharmonic elliptic systems
Date
2018-03-14
Authors
Demarque, Reginaldo
da Hora Lisboa, Narciso
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we obtain weak radial solutions for the inhomogeneous elliptic system
∆2u + V1(|x|)|u|q-2u = Q(|x|)Fu(u, v) in ℝN,
∆2v + V2(|x|)|v|q-2v = Q(|x|)Fv(u, v) in ℝN,
u, v ∈ D2,2 0 (ℝN), N ≥ 5,
where ∆2 is the biharmonic operator, Vi, Q ∈ C0 ((0, +∞), [0, +∞)), i = 1, 2, are radially symmetric potentials, 1 < q < N, q ≠ 2, and F is a s-homogeneous function. Our approach relies on an application of the Symmetric Mountain Pass Theorem and a compact embedding result proved in [17].
Description
Keywords
Biharmonic operator, Elliptic systems, Existence of solutions, Radial solutions, Mountain Pass Theorem
Citation
Demarque, R., & da Hora Lisboa, N. (2018). Radial solutions for inhomogeneous biharmonic elliptic systems. <i>Electronic Journal of Differential Equations, 2018</i>(67), pp. 1-14.
Rights
Attribution 4.0 International