Positive solutions to a Dirichlet problem with non-Lipschitz nonlinearities
Date
2021-04-20
Authors
Anello, Giovanni
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
Let Ω be a bounded smooth domain in ℝN. We study the existence of positive solutions to the Dirichlet problem
-Δu = (1 - u)us-1 - λur-1, in Ω,
u = 0, on ∂Ω,
where 1 < r < s ≤ 2, and λ > 0. In particular, we answer to some questions posed in the recent paper [3] where this problem was considered.
Description
Keywords
Positive solution, Non-Lipschitz nonlinearity, Variational methods
Citation
Anello, G. (2021). Positive solutions to a Dirichlet problem with non-Lipschitz nonlinearities. <i>Electronic Journal of Differential Equations, 2021</i>(30), pp. 1-9.
Rights
Attribution 4.0 International