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Multiplicity Results for Ground State Solutions of a Semilinear Equation via Abrupt Changes in Magnitude of the Nonlinearity by Cortázar, Carmen; García-Huidobro, Marta; Herreros, Pilar is a scholarly article available to read on EtoBox.

What is Multiplicity Results for Ground State Solutions of a Semilinear Equation via Abrupt Changes in Magnitude of the Nonlinearity about?

Given $k\in\mathbb N$, we define a class of continuous piecewise functions $f$ having abrupt but controlled magnitude changes so that the problem $$\Delta u +f(u)=0,\quad x\in \mathbb R^N, N> 2, $$ has at least $k$ radially symmetric ground state solutions.

Author

Cortázar, Carmen; García-Huidobro, Marta; Herreros, Pilar

Published

2022

Language

EN