Existence of nodal solutions for weighted elliptic problem involving exponential growth
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
Authors
- Brahim Dridi (ORCID: https://orcid.org/0000-0001-5863-029X)
- Wajdi Kallel
- Mohammed H. Alsharif (ORCID: https://orcid.org/0000-0001-8579-5444)
Institutions
- Umm al-Qura University (SA)
- Tunis El Manar University (TN)
- University of Gabès (TN)
Publication Details
- Journal
- Boletim da Sociedade Paranaense de Matemática
- Published
- 2025-02-04
- DOI
- https://doi.org/10.5269/bspm.67787
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Umm Al-Qura University