Existence of Nodal Solutions for weighted Elliptic Problem Involving Exponential Growth

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

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

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Publiée
2025-02-04
Rubrique
Research Articles