Existence of positive solutions for quasilinear elliptic systems involving the p-Laplacian
Electronic Journal of Differential Equations, 2009 In this article, we study the existence of positive solutions for the quasilinear elliptic system $$displaylines{ -Delta_{p}u = f(x,u,v) quad x in Omega ,cr -Delta_{p}v = g(x,u,v) quad x in Omega ,cr u = v = 0 quad x in partialOmega.
Xudong Shang, Jihui Zhang
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Quasilinear elliptic systems in divergence form with weak monotonicity and nonlinear physical data
Electronic Journal of Differential Equations, 2004 We study the quasilinear elliptic system $$ -mathop{ m div}sigma(x,u,Du) =v(x)+f(x,u)+mathop{ m div}g(x,u) $$ on a bounded domain of $mathbb{R}^n$ with homogeneous Dirichlet boundary conditions.
Fabien Augsburger, Norbert Hungerbuehler
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Existence of positive radial solutions for quasilinear elliptic equations and systems
Electronic Journal of Differential Equations, 2016 Under simple conditions on f and g, we show that existence of positive radial solutions for the quasilinear elliptic equation $$ \hbox{div}(\phi_1(|\nabla u|) \nabla u)=a(|x|)f(u) \quad x\in \mathbb{R}^N, $$ and for the system $$\displaylines{
Zhijun Zhang
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Weak solutions for a system of quasilinear elliptic equations [PDF]
Contributions to Mathematics, 2020 Maria Alessandra Ragusa +1 more
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Lyapunov-type inequalities for quasilinear elliptic equations with Robin boundary condition
, 2017 The aim of this study is to prove Lyapunov-type inequalities for a quasilinear elliptic equation in R-2.
DİNLEMEZ KANTAR, ÜLKÜ, Ozden, Tulay
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ON POSITIVE SOLUTION FOR A CLASS OF QUASILINEAR ELLIPTIC SYSTEMS WITH SIGN-CHANGING WEIGHTS [PDF]
, 2014 In this paper, we consider the problem for the existence of positive solutions of quasilinear elliptic system where the λ > 0 is a parameter, Ω is a bounded domain in R N (N > 1) with smooth boundary ∂ Ω , and the Δ p z = div(|∇z| p−2 ∇z) is the p -
Dianpeng He, Zuodong Yang
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Existence results for quasilinear elliptic systems in RN
Electronic Journal of Differential Equations, 1999 We prove existence results for the quasilinear elliptic system $$ displaylines{ -Delta_{p}u = lambda a(x)|u|^{gamma-2}u +lambda b(x) |u|^{alpha -1}|v|^{Beta +1}u, cr -Delta_{q}v = lambda d(x)|v|^{delta-2}v +lambda b(x)|u|^{alpha +1}|v|^{Beta -1}v,, cr }$$
N. M. Stavrakakis, N. B. Zographopoulos
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Conjectures in inverse boundary value problems for quasilinear elliptic equations
, 2005 Access to full text in SOAR is currently suppressed. Publisher's copy of this article is accessible at: http://www.dmat.ufpe.br/CUBO/files/7_3_2005.pdf#page=64Inverse boundary value problems originated in early 80’s, from the contribution of A.P ...
Sun, Ziqi
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An existence result for a class of quasilinear singular competitive elliptic systems
, 2014 International audienceIn this paper we establish existence and regularity of positive solutions for a singular quasilinear elliptic system with competitive structure.
Motreanu, Dumitru, Moussaoui, Abdelkrim
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On the existence of weak solutions for p,q-laplacian systems with weights
Electronic Journal of Differential Equations, 2008 This paper studies degenerate quasilinear elliptic systems involving p,q-superlinear and critical nonlinearities with singularities. Existence results are obtained by using properties of the best Hardy-Sobolev constant together with an approach ...
Rodrigo S. Rodrigues +1 more
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