Results 1 to 10 of about 135 (125)
Quasilinear and singular elliptic systems [PDF]
Advances in Nonlinear Analysis, 2013 In this paper, we investigate the following quasilinear elliptic and singular system :
Giacomoni Jacques +2 more
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Multiple Solutions for a Singular Quasilinear Elliptic System
The Scientific World Journal, 2013 We consider the multiplicity of nontrivial solutions of the following quasilinear elliptic system , , , , , where , , , , , . The functions , , , , , , and satisfy some suitable conditions. We will prove that the problem has at least two nontrivial
Lin Chen, Caisheng Chen, Zonghu Xiu
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Singular quasilinear convective elliptic systems in ℝN [PDF]
Advances in Nonlinear Analysis, 2022 The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed point arguments, and a priori estimates.
Guarnotta Umberto +2 more
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A multiplicity result for a quasilinear gradient elliptic system
Journal of Applied Mathematics, 2001 The aim of this work is to establish the existence of infinitely many solutions to gradient elliptic system problem, placing only conditions on a potential function H, associated to the problem, which is assumed to have an oscillatory behaviour at ...
Abdelaziz Ahammou
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Boundedness of solutions to quasilinear elliptic systems
Advances in Nonlinear AnalysisThis article deals with elliptic systems of the form −∑i=1n∂∂xi∑β=1N∑j=1nai,jα,β(x,u(x))∂uβ(x)∂xj=fα(x),α=1,…,N.-\mathop{\sum }\limits_{i=1}^{n}\frac{\partial }{\partial {x}_{i}}\left(\mathop{\sum }\limits_{\beta =1}^{N}\mathop{\sum }\limits_{j=1}^{n}{a ...
Mi Fang +3 more
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Multiple solutions for a quasilinear (p,q)-elliptic system
Electronic Journal of Differential Equations, 2013 In this article we show the existence of three weak solutions of a Dirichlet quasilinear elliptic system of differential equations which involves a general (p,q)-elliptic operator in divergence, with ...
Seyyed Mohsen Khalkhali +1 more
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Singular quasilinear elliptic systems with gradient dependence [PDF]
Positivity, 2022 In this paper, we prove existence and regularity of positive solutions for singular quasilinear elliptic systems involving gradient terms. Our approach is based on comparison properties, a priori estimates and Schauder's fixed point theorem.
Halima Dellouche, Abdelkrim Moussaoui
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Advanced Nonlinear Studies, 2021 The aim of this paper is investigating the existence of one or more weak solutions of the coupled quasilinear elliptic system of gradient ...
Candela Anna Maria +2 more
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Singular quasilinear elliptic systems in RN [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2019 The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point theorem.
Marano, Salvatore A. +2 more
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Singular Quasilinear Elliptic Systems with (super-) Homogeneous Condition [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2020 In this paper we establish existence, nonexistence and regularity of positive solutions for a class of singular quasilinear elliptic systems subject to (super-) homogeneous condition. The approach is based on sub-supersolution methods for systems of quasilinear singular equations combined with perturbation arguments involving singular ...
Didi, Hana +2 more
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