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2022 Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains
Louis Dupaigne, Alberto Farina
Anal. PDE 15(2): 551-566 (2022). DOI: 10.2140/apde.2022.15.551

Abstract

We classify stable and finite Morse index solutions to general semilinear elliptic equations posed in Euclidean space of dimension at most 10 and in some unbounded domains of dimension at most 11.

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Louis Dupaigne. Alberto Farina. "Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains." Anal. PDE 15 (2) 551 - 566, 2022. https://doi.org/10.2140/apde.2022.15.551

Information

Received: 25 May 2020; Revised: 3 August 2020; Accepted: 6 October 2020; Published: 2022
First available in Project Euclid: 29 April 2022

Digital Object Identifier: 10.2140/apde.2022.15.551

Subjects:
Primary: 35J15

Keywords: Liouville-type theorems , semilinear elliptic PDEs , stable solutions

Rights: Copyright © 2022 Mathematical Sciences Publishers

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Vol.15 • No. 2 • 2022
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