Liouville-type theorems and existence of solutions for quasilinear elliptic problems
This study establishes Liouville-type theorems for indefinite quasilinear elliptic equations in the upper half-space. Additionally, we demonstrate the existence of solutions for this class of problems using the fibering method. Our approach relies on a novel weighted Sobolev embedding developed for the upper half-space.
Authors
- E.S. Medeiros (ORCID: https://orcid.org/0000-0001-7174-8815)
- João Marcos do Ó (ORCID: https://orcid.org/0000-0001-7039-4365)
- R.F. Freire
Institutions
- Universidade Federal da Paraíba (BR)
Publication Details
- Journal
- Nonlinear Analysis Real World Applications
- Published
- 2026-09-06
- DOI
- https://doi.org/10.1016/j.nonrwa.2026.104741
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Fundação de Apoio à Pesquisa do Estado da Paraíba