Work

Liouville-type theorems and existence of solutions for quasilinear elliptic problems

Year: 2026

Type: article

Abstract: 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.

Source: Nonlinear Analysis Real World Applications

DOI: 10.1016/j.nonrwa.2026.104741

Authors: J.M. do Ó, R.F. Freire, E.S. Medeiros

Institution: Universidade Federal da Paraíba

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

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