Existence of Nodal Solutions for weighted Elliptic Problem Involving Exponential Growth

Auteurs-es

  • wajdi kallel Umm Al-Qura University
  • Brahim Dridi
  • Mohammed Alsharif Umm Al-Qura University, Department of mathematics, Faculty of Sciences, Saudi Arabia.

DOI :

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

Résumé

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 ≥ 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

Téléchargements

Publié

2025-02-04

Numéro

Rubrique

Research Articles