Unbounded solutions for Schrodinger quasilinear elliptic problems with perturbation by a positive non-square diffusion term
Date
2018-05-03
Authors
Santos, Carlos Alberto
Zhou, Jiazheng
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we present a version of Keller-Osserman condition for the Schrödinger quasilinear elliptic problem
-∆u + k/2 u∆u2 = α(x)g(u) in ℝN
u > 0 in ℝN, lim|x|→∞ u(x) = ∞,
where α : ℝN → [0, ∞) and g : [0, ∞) are suitable continuous functions, N ≥ 1, and k > 0 is a parameter. By combining a dual approach and this version of Keller-Osserman condition, we show the existence and multiplicity of solutions.
Description
Keywords
Schrödinger equations, Blow up solutions, Quasilinear problems, Non-square diffusion, Multiplicity of solutions
Citation
Santos, C. A., & Zhou, J. (2018). Unbounded solutions for Schrodinger quasilinear elliptic problems with perturbation by a positive non-square diffusion term. <i>Electronic Journal of Differential Equations, 2018</i>(102), pp. 1-11.
Rights
Attribution 4.0 International