Non existence result of nontrivial solutions to the equation - $\Delta u = f(u)$

López Martínez, Salvador; Molino, Alexis

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1080/17476933.2020.1825397

Title :

Non existence result of nontrivial solutions to the equation - $\Delta u = f(u)$

Author(s) :

López Martínez, Salvador [Auteur]
Systèmes de particules et systèmes dynamiques [Paradyse]
Molino, Alexis [Auteur]
Universidad de Almería [UAL]

Journal title :

Complex Variables and Elliptic Equations

Publisher :

Taylor & Francis

Publication date :

2020-12-21

ISSN :

1747-6933

English keyword(s) :

Elliptic Equation
Dirichlet Problem
Nonexistence

HAL domain(s) :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

In this paper we prove the nonexistence of nontrivial solution to −∆u = f (u) in Ω, u = 0 on ∂Ω, being Ω ⊂ R N (N ≥ 1) a bounded domain and f locally Lispchitz with non-positive primitive. As a consequence, we discuss the ...
Show more >In this paper we prove the nonexistence of nontrivial solution to −∆u = f (u) in Ω, u = 0 on ∂Ω, being Ω ⊂ R N (N ≥ 1) a bounded domain and f locally Lispchitz with non-positive primitive. As a consequence, we discuss the long-time behavior of solutions to the so-called sine-Gordon equation.Show less >

Language :

Anglais

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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