Existence of ground state solutions for subcritical, critical, and supercritical <i>p</i> &amp; <i>q</i> systems

In this paper we are going to show the existence of nonnegative ground state solution for a class of system involving a quasilinear elliptic operator and a nonlinearity associated which was studied considering three types of growth: subcritical, critical and supercritical. Such class of operators includes the Laplacian, p-Laplacian and p&q-Laplacian operators.

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Publication Details

Journal
Complex Variables and Elliptic Equations
Published
2026-07-23
DOI
https://doi.org/10.1080/17476933.2026.2700240
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
0.00

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article

Existence of ground state solutions for subcritical, critical, and supercritical p & q systems

Gustavo S. A. Costa, Segundo M. A. Salirrosas
Complex Variables and Elliptic Equations
Nonlinear Partial Differential Equations
article

Existence of ground state solutions for subcritical, critical, and supercritical p & q systems

Gustavo S. A. Costa, Segundo M. A. Salirrosas
article en

Abstract

In this paper we are going to show the existence of nonnegative ground state solution for a class of system involving a quasilinear elliptic operator and a nonlinearity associated which was studied considering three types of growth: subcritical, critical and supercritical. Such class of operators includes the Laplacian, p-Laplacian and p&q-Laplacian operators.

Complex Variables and Elliptic Equations
Universidade Federal do Maranhão (BR)
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação de Amparo à Pesquisa e ao Desenvolvimento Científico e Tecnológico do Maranhão
Openalex Percentile: Top 5%
Nonlinear Partial Differential Equations
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