MULTIPLICITY RESULTS FOR GROUND STATE SOLUTIONS OF A SEMILINEAR EQUATION VIA ABRUPT CHANGES IN MAGNITUDE OF THE NONLINEARITY

Cortazar, Carmen; Garcia-Huidobro, Marta; Herreros, Pilar

Abstract

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

Más información

Título según WOS: 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
Editorial: AMER INST MATHEMATICAL SCIENCES-AIMS
Fecha de publicación: 2022
DOI:

10.3934/dcds.2022176

Notas: ISI