Work

On a class of quasilinear elliptic equations with double singularity and quadratic convection term

Year: 2026

Type: article

Abstract: In this paper, we study existence and summability of distributional solutions in $$H_0^1(\Omega )$$ H 0 1 ( Ω ) or $$H^1_{\text {loc}}(\Omega )$$ H loc 1 ( Ω ) to a class of quasilinear stationary Schrödinger equations with double singularities and a quadratic convection term. The results obtained depend on the summability of a datum g ( x ) (which belongs to a Lebesgue space) and on a parameter $$\lambda $$ λ of a singular term. In particular, we establish the existence of distributional solutions in $$H_0^1(\Omega )$$ H 0 1 ( Ω ) for weak and strongly singular nonlinearities.

Source: Journal of Fixed Point Theory and Applications

DOI: 10.1007/s11784-026-01319-2

Authors: Gelson C. G. dos Santos, Ryan H. Freitas Moura

Institution: Universidade Federal do Pará

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico