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