A multiplicity result for a singular problem with subcritical nonlinearities

Szalay, Frederick S.; Rosenberger, Alfred L.; Dagosto, Marian

doi:10.23952/jnfa.2017.33

J. Nonlinear Funct. Anal.

2017

DOI: 10.23952/jnfa.2017.33

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A multiplicity result for a singular problem with subcritical nonlinearities

Abstract: Abstract. In this paper, the multiplicity of positive solutions for the Laplacian singular problems is obtained based on the Nehari manifold approach and some variational techniques.

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Cited by 2 publications

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On three-term conjugate gradient method for optimization problems with applications on COVID-19 model and robotic motion control

et al. 2022

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The three-term conjugate gradient (CG) algorithms are among the efficient variants of CG algorithms for solving optimization models. This is due to their simplicity and low memory requirements. On the other hand, the regression model is one of the statistical relationship models whose solution is obtained using one of the least square methods including the CG-like method. In this paper, we present a modification of a three-term conjugate gradient method for unconstrained optimization models and further establish the global convergence under inexact line search. The proposed method was extended to formulate a regression model for the novel coronavirus (COVID-19). The study considers the globally infected cases from January to October 2020 in parameterizing the model. Preliminary results have shown that the proposed method is promising and produces efficient regression model for COVID-19 pandemic. Also, the method was extended to solve a motion control problem involving a two-joint planar robot.

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On three-term conjugate gradient method for optimization problems with applications on COVID-19 model and robotic motion control

et al. 2022

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Multiplicity of positive weak solutions to subcritical singular elliptic Dirichlet problems

Godoy¹,

Guerin²

2017

Electron. J. Qual. Theory Differ. Equ.

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A multiplicity result for a singular problem with subcritical nonlinearities

Abstract: Abstract. In this paper, the multiplicity of positive solutions for the Laplacian singular problems is obtained based on the Nehari manifold approach and some variational techniques.

Cited by 2 publications

References 15 publications

On three-term conjugate gradient method for optimization problems with applications on COVID-19 model and robotic motion control

On three-term conjugate gradient method for optimization problems with applications on COVID-19 model and robotic motion control

Multiplicity of positive weak solutions to subcritical singular elliptic Dirichlet problems

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