Positive solutions to a Dirichlet problem with non-Lipschitz nonlinearities

Date

2021-04-20

Authors

Anello, Giovanni

Journal Title

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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

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