Article SCOPUS
Discrete and Continuous Dynamical Systems- Series A  (2023)

Multiplicity results for ground state solutions of a semilinear equation via abrupt changes in magnitude of the nonlinearity

Cortazar, Carmen; Herreros, Pilar

Abstract

Given k ∊ ℕ, we define a class of continuous piecewise functions f having abrupt but controlled magnitude changes so that the problem ∆u + f(u) = 0, x ∊ ℝN , N > 2, has at least k radially symmetric positive solutions.

Más información

Título según SCOPUS: MULTIPLICITY RESULTS FOR GROUND STATE SOLUTIONS OF A SEMILINEAR EQUATION VIA ABRUPT CHANGES IN MAGNITUDE OF THE NONLINEARITY
Título de la Revista: Discrete and Continuous Dynamical Systems- Series A
Volumen: 43
Número: 2
Editorial: American Institute of Mathematical Sciences
Fecha de publicación: 2023
Página de inicio: 968
Página final: 992
Idioma: English
DOI:

10.3934/dcds.2022176
Notas: SCOPUS - ISI, SCOPUS