Nonexitence of nontrivial solutions to Dirichlet problems for the fractional Laplacian

Date

2023-02-17

Authors

Carmona, Jose
Molino, Alexis

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article we prove that there are no nontrivial solutions to the Dirichlet problem for the fractional Laplacian (-∆)su = ƒ(u) in Ω, u = 0 in ℝN\Ω, where Ω ⊂ ℝN (N≥1) is a bounded domain, and f is locally Lipschitz with non-positive primitive F(t) = ∫t0 ƒ(τ)dτ.

Description

Keywords

Fractional Laplacian, Dirichlet problem, Nonexistence of solutions

Citation

Carmona, J., & Molino, A. (2023). Nonexitence of nontrivial solutions to Dirichlet problems for the fractional Laplacian. <i>Electronic Journal of Differential Equations, 2023</i>(16), pp. 1-10.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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