Skip to Main content Skip to Navigation
Journal articles

General uniqueness results for large solutions

Abstract : We give a series of very general sufficient conditions in order to ensure the uniqueness of large solutions for −∆u + f (x, u) = 0 in a bounded domain Ω where f : Ω × R → R + is a continuous function, such that f (x, 0) = 0 for x ∈ Ω, and f (x, r) > 0 for x in a neighborhood of ∂Ω and all r > 0. 2010 Mathematics Subject Classification. 35 J 61; 31 B 15; 28 C 05 .
Document type :
Journal articles
Complete list of metadatas

Cited literature [35 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02419307
Contributor : Laurent Veron <>
Submitted on : Thursday, December 19, 2019 - 1:48:45 PM
Last modification on : Monday, August 24, 2020 - 4:40:20 PM
Long-term archiving on: : Friday, March 20, 2020 - 5:41:13 PM

Files

Optimal uniqueness7.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02419307, version 1
  • ARXIV : 1912.10861

Collections

Citation

Julián López-Gómez, Luis Maire, Laurent Veron. General uniqueness results for large solutions. Zeitschrift für Angewandte Mathematik und Physik, Springer Verlag, 2020, 71:109, pp.1-14. ⟨hal-02419307⟩

Share

Metrics

Record views

42

Files downloads

54