Existence of Nodal Solutions for weighted Elliptic Problem Involving Exponential Growth

Wajdi Kallel; Brahim Dridi; Mohammed  Alsharif

doi:10.5269/bspm.67787

Existence of Nodal Solutions for weighted Elliptic Problem Involving Exponential Growth

Authors

Wajdi Kallel Gabes University , Faculty of Sciences of Gabes, Erriadh Str., 6072 Gabes, Tunisia.
Brahim Dridi
Mohammed Alsharif Umm Al-Qura University, Department of mathematics, Faculty of Sciences, Saudi Arabia.

DOI:

https://doi.org/10.5269/bspm.67787

Abstract

In this note, we establish the existence of nodal solutions for a logarithmic weighted elliptic
problem in the unit ball B of R^N , N â‰¥ 3. The non-linearity is assumed to have exponential growth in
view of Trudinger-Moser type inequalities. Our method is based on the constrained minimization in Nehari
manifold coupled with the quantitative deformation lemma and degree theory

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Published

2025-02-04

Issue

Vol. 43 (2025)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

How to Cite

Kallel, W., Dridi, B., & Alsharif, M. . (2025). Existence of Nodal Solutions for weighted Elliptic Problem Involving Exponential Growth. Boletim Da Sociedade Paranaense De Matemática, 43, 1-14. https://doi.org/10.5269/bspm.67787