Qualitative Analysis of General Elliptic Operator in Divergence Form
In this work, we study a singular elliptic Dirichlet problem involving a general elliptic operator. Using the critical point theory, we investigate and give out some new solvability conditions for the existence of at least one nontrivial weak solution. Our framework includes a large class of weighted $$p$$ -Laplacian models, which is a special case of the problem studied in this paper.
Authors
- Mohamad Reza Heidari Tavani (ORCID: https://orcid.org/0000-0003-1278-3623)
- Jafar Esmaily
- Mahnoosh Alizadeh (ORCID: https://orcid.org/0000-0003-3369-3846)
- Sajad Behvandi
Institutions
- Islamic Azad University, Khorramabad Branch (IR)
- Islamic Azad University, Ahvaz Branch (IR)
Publication Details
- Journal
- Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
- Published
- 2024-10-01
- DOI
- https://doi.org/10.3103/s1068362324700249
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00