Infinitely many solutions for nonlinear elliptic problems in the whole space

Authors

• Eleonora Amoroso
• Gabriele Bonanno
• Kanishka Perera

Document Type

Article

Publication Title

Electronic Journal of Qualitative Theory of Differential Equations

Abstract

This paper investigates the existence of infinitely many weak solutions for a nonlinear elliptic p-Laplacian equation defined in the whole space RN . In particular, the equation is parameter-dependent and a range of positive parameters in which the equation admits such solutions is provided. Moreover, some particular cases in which the solutions turn out to be nonnegative are presented. The study is conducted via variational methods and critical points theory. © 2025, University of Szeged. All rights reserved.

DOI

10.14232/ejqtde.2025.1.65

Publication Date

2025

Recommended Citation

Amoroso, Eleonora; Bonanno, Gabriele; and Perera, Kanishka, "Infinitely many solutions for nonlinear elliptic problems in the whole space" (2025). Mathematics and System Engineering Faculty Publications. 215.
https://repository.fit.edu/math_faculty/215

Previous Versions

Sep 10 2026