Quasilinear and singular elliptic systems
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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Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
Abstract and Applied Analysis, 2002 This work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem.
Pablo L. de Nàpoli, M. Cristina Mariani
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Blow-Up and Global Existence for a Quasilinear Parabolic System [PDF]
Discrete Dynamics in Nature and Society, 2014 The problem of solutions to a class of quasilinear coupling parabolic system was studied. By constructing weak upper-solutions and weak lower-solutions, we obtain the global existence and blow-up of solutions under appropriate conditions.
Chunchen Wu
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A Plankton allelopathic model described by a delayed quasilinear parabolic system
Mathematical Modelling and Analysis, 2012 The quasilinear parabolic system has been applied to a variety of physical and engineering problems. However, most works lack effective techniques to deal with the asymptotic stability.
Canrong Tian, Peng Zhu
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Two-grid virtual element discretization of quasilinear elliptic problem
Mathematical Modelling and AnalysisIn this paper a two grid algorithm for quasilinear elliptic problem based on virtual element method (VEM) discretization is proposed. With this new algorithm the solution of a quasilinear elliptic problem on a fine grid is reduced to the solution of a ...
Fengxin Chen, Minghui Yang, Zhaojie Zhou
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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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Multiple nonsymmetric nodal solutions for quasilinear Schrödinger system [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, we consider the quasilinear Schrödinger system in $\mathbb R^{N}$ ($N\geq3$): \begin{equation*} \begin{cases} -\Delta u+ A(x)u-\frac{1}{2}\Delta(u^{2})u=\frac{2\alpha }{\alpha+\beta}|u|^{\alpha-2}u|v|^{\beta},\\ -\Delta v+ Bv-\frac{1}{2}\
Jianqing Chen, Qian Zhang
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A subsolution-supersolution method for quasilinear systems
Electronic Journal of Differential Equations, 2005 Assuming that a system of quasilinear equations of gradient type admits a strict supersolution and a strict subsolution, we show that it also admits a positive solution.
Dimitrios A. Kandilakis +1 more
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Evaluation of Resorcinarene Trimer Methanesulfonate Aggregation in the Presence of Inorganic Salts and Biomolecules in Aqueous Solutions Using UV-vis Spectroscopy and Electrophoresis. [PDF]
ChemphyschemUV–vis spectra of resorcinarene trimer methanesulfonate were identified in the presence of inorganic salts, choline, and bovine serum albumin. The origin of the peaks was identified. The absorption dynamic over the course of 5 days revealed that Na+ cations promote supramolecular aggregation while choline hinders it.
Shepelytskyi Y +11 more
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Existence of solutions for a coupled quasilinear system on time scales
Electronic Journal of Differential Equations, 2011 In this work we study a quasilinear system of equations on time scales. Using the Krasnoselskii fixed-point theorem, sufficient conditions are given for the existence of positive solutions.
Moulay Rchid Sidi Ammi +1 more
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