Large solutions for an elliptic system of quasilinear equations

Abstract In the present paper, we study the existence of solutions for some classes of singular systems involving the {\Delta_{p(x)}} and {\Delta_{q(x)}} Laplacian operators. The approach is based on bifurcation theory and the sub-supersolution method for systems of quasilinear equations involving singular terms.

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Large solutions for an elliptic system of competitive type: Existence, uniqueness and asymptotic behavior

Nonlinear Analysis ◽

10.1016/j.na.2009.03.012 ◽

2009 ◽

Vol 71 (10) ◽

pp. 4544-4552 ◽

Cited By ~ 7

Author(s):

Chunlai Mu ◽

Shuibo Huang ◽

Qiaoyu Tian ◽

Limin Liu

Keyword(s):

Asymptotic Behavior ◽

Elliptic System ◽

Large Solutions

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MULTIPLICITY RESULTS FOR A QUASILINEAR ELLIPTIC SYSTEM VIA MORSE THEORY

Communications in Contemporary Mathematics ◽

10.1142/s0219199705001714 ◽

2005 ◽

Vol 07 (02) ◽

pp. 227-249 ◽

Cited By ~ 9

Author(s):

SILVIA CINGOLANI ◽

MONICA LAZZO ◽

GIUSEPPINA VANNELLA

Keyword(s):

Banach Space ◽

Elliptic System ◽

Laplace Operator ◽

Morse Theory ◽

Quasilinear Elliptic System ◽

Quasilinear Equations ◽

Multiplicity Results ◽

New Perturbation ◽

Quasilinear Elliptic

In this work we prove some multiplicity results for solutions of a system of elliptic quasilinear equations, involving the p-Laplace operator (p > 2). The proof are based on variational and topological arguments and makes use of new perturbation results in Morse theory for the Banach space [Formula: see text].

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The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach

Applied Mathematics Letters ◽

10.1016/j.aml.2019.106018 ◽

2020 ◽

Vol 100 ◽

pp. 106018 ◽

Cited By ~ 24

Author(s):

Xinguang Zhang ◽

Jiqiang Jiang ◽

Yonghong Wu ◽

Yujun Cui

Keyword(s):

Elliptic System ◽

Dual Approach ◽

Large Solutions ◽

Existence And Nonexistence

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Large Solutions of Quasilinear Elliptic System of Competitive Type: Existence and Asymptotic Behavior

International Journal of Differential Equations ◽

10.1155/2010/104625 ◽

2010 ◽

Vol 2010 ◽

pp. 1-17

Author(s):

Lin Wei ◽

Zuodong Yang

Keyword(s):

Asymptotic Behavior ◽

Elliptic System ◽

Smooth Boundary ◽

Upper And Lower Solutions ◽

Elliptic Systems ◽

Quasilinear Elliptic System ◽

Localization Method ◽

Large Solutions ◽

Quasilinear Elliptic Systems ◽

Quasilinear Elliptic

We study the existence and asymptotic behavior of positive solutions for a class of quasilinear elliptic systems in a smooth boundary via the upper and lower solutions and the localization method. The main results of the present paper are new and extend some previous results in the literature.

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